Representations through equivalent functions
With inverse function
Involving sin^{-1}(sin(*z*))
Involving sin(sin^{-1}(*z*))
Involving sin^{-1}(cos(*z*))
With related functions
Involving log
Involving cos^{-1}
Involving sin^{-1}(*z*)
Involving sin^{-1}(*z*) and cos^{-1}(*z*)
Involving sin^{-1}(*z*) and cos^{-1}(-*z*)
Involving sin^{-1}(*z*) and cos^{-1}(1-2 *z*^{2})
Involving sin^{-1}(*z*) and cos^{-1}(2 *z*^{2}-1)
Involving sin^{-1}(*z*) and cos^{-1}(1+*z*/2^{1/2})
Involving sin^{-1}(*z*) and cos^{-1}(1-*z*/2^{1/2})
Involving sin^{-1}(*z*) and cos^{-1}((*z*_{2})^{1/2})
Involving sin^{-1}(*z*) and cos^{-1}((1-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and cos^{-1}(2 *z* (1-*z*^{2})^{1/2})
Involving sin^{-1}(*z*^{1/2})
Involving sin^{-1}(1/*z*^{1/2}) and cos^{-1}(*z*^{1/2})
Involving sin^{-1}(1/*z*^{1/2}) and cos^{-1}(1/1/*z*^{1/2})
Involving sin^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/*z*^{1/2}) and cos^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/*z*^{1/2}) and cos^{-1}(1/*z*^{1/2})
Involving sin^{-1}((*z*_{2})^{1/2})
Involving sin^{-1}((*z*_{2})^{1/2}) and cos^{-1}(*z*)
Involving sin^{-1}(*a* (*b* *z*^{c})^{m})
Involving sin^{-1}(*a* (*b* *z*^{c})^{m}) and cos^{-1}(*a* *b*^{m} *z*^{m c})
Involving sin^{-1}(1-2 *z*^{2})
Involving sin^{-1}(1-2 *z*^{2}) and cos^{-1}(*z*)
Involving sin^{-1}(2 *z*^{2}-1)
Involving sin^{-1}(2 *z*^{2}-1) and cos^{-1}(*z*)
Involving sin^{-1}(*z*^{2}-2/*z*^{2})
Involving sin^{-1}(*z*^{2}-2/*z*^{2}) and cos^{-1}(1/*z*)
Involving sin^{-1}(2-*z*^{2}/*z*^{2})
Involving sin^{-1}(2-*z*^{2}/*z*^{2}) and cos^{-1}(1/*z*)
Involving sin^{-1}((1-*z*)^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}) and cos^{-1}(*z*^{1/2})
Involving sin^{-1}(1+*c* *z*/2^{1/2})
Involving sin^{-1}(1+*z*/2^{1/2}) and cos^{-1}(*z*)
Involving sin^{-1}(1-*z*/2^{1/2}) and cos^{-1}(*z*)
Involving sin^{-1}((*z*-1)^{1/2}/*z*^{1/2})
Involving sin^{-1}((*z*-1)^{1/2}/*z*^{1/2}) and cos^{-1}(1/*z*^{1/2})
Involving sin^{-1}((*z*-1)^{1/2}/*z*^{1/2}) and cos^{-1}(1/*z*^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}/(-*z*)^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}/(-*z*)^{1/2}) and cos^{-1}(1/*z*^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}/(-*z*)^{1/2}) and cos^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*-1/*z*^{1/2})
Involving sin^{-1}(*z*-1/*z*^{1/2}) and cos^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*-1/*z*^{1/2}) and cos^{-1}(1/*z*^{1/2})
Involving sin^{-1}((*z*+*a*)^{1/2}/(2 *z*)^{1/2})
Involving sin^{-1}((*z*-1)^{1/2}/(2 *z*)^{1/2}) and cos^{-1}(1/*z*)
Involving sin^{-1}((*z*+1)^{1/2}/(2 *z*)^{1/2}) and cos^{-1}(1/*z*)
Involving sin^{-1}((*a*-*z*)^{1/2}/(-2*z*)^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}/(-2*z*)^{1/2}) and cos^{-1}(1/*z*)
Involving sin^{-1}((-1-*z*)^{1/2}/(-2*z*)^{1/2}) and cos^{-1}(1/*z*)
Involving sin^{-1}(*z*+*a*/2 *z*^{1/2})
Involving sin^{-1}(*z*-1/2*z*^{1/2}) and cos^{-1}(1/*z*)
Involving sin^{-1}(*z*+1/2*z*^{1/2}) and cos^{-1}(1/*z*)
Involving sin^{-1}((1-*z*^{2})^{1/2})
Involving sin^{-1}((1-*z*^{2})^{1/2}) and cos^{-1}(*z*)
Involving sin^{-1}((*z*^{2}-1)^{1/2}/*z*)
Involving sin^{-1}((*z*^{2}-1)^{1/2}/*z*) and cos^{-1}(1/*z*)
Involving sin^{-1}((*z*^{2}-1)^{1/2}/(*z*_{2})^{1/2})
Involving sin^{-1}((*z*^{2}-1)^{1/2}/(*z*_{2})^{1/2}) and cos^{-1}(1/*z*)
Involving sin^{-1}((1-*z*^{2})^{1/2}/(-*z*^{2})^{1/2})
Involving sin^{-1}((1-*z*^{2})^{1/2}/(-*z*^{2})^{1/2}) and cos^{-1}(1/*z*)
Involving sin^{-1}(*z*^{2}-1/*z*^{2}^{1/2})
Involving sin^{-1}(*z*^{2}-1/*z*^{2}^{1/2}) and cos^{-1}(1/*z*)
Involving sin^{-1}(2 *z* (1-*z*^{2})^{1/2})
Involving sin^{-1}(2 *z* (1-*z*^{2})^{1/2}) and cos^{-1}(*z*)
Involving sin^{-1}(2 (*z*^{2}-1)^{1/2}/*z*^{2})
Involving sin^{-1}(2 (*z*^{2}-1)^{1/2}/*z*^{2}) and cos^{-1}(1/*z*)
Involving sin^{-1}(((1-(1+*c* *z*^{2})^{1/2})/2)^{1/2})
Involving sin^{-1}(((1-(1+*z*^{2})^{1/2})/2 )^{1/2}) and cos^{-1}(*i* *z*)
Involving sin^{-1}(((1-(1-*z*^{2})^{1/2})/2 )^{1/2}) and cos^{-1}(*z*)
Involving sin^{-1}(*z*(1-(1-*z*^{2})^{1/2} )^{1/2}/(2*z*^{2})^{1/2})
Involving sin^{-1}(*z* (1-(1-*z*^{2})^{1/2})^{1/2}/(2*z*^{2})^{1/2}) and cos^{-1}(*z*)
Involving sin^{-1}(*z* ((1-(1-*z*^{2})^{1/2})/(2*z*^{2}))^{1/2})
Involving sin^{-1}(*z* ((1-(1-*z*^{2})^{1/2})/(2*z*^{2}))^{1/2}) and cos^{-1}(*z*)
Involving sin^{-1}((*z*-(*z*^{2}-1)^{1/2})^{1/2}/(2*z*)^{1/2})
Involving sin^{-1}((*z*-(*z*^{2}-1)^{1/2})^{1/2}/(2*z*)^{1/2}) and cos^{-1}(1/*z*)
Involving sin^{-1}(((*z*-(*z*^{2}-1)^{1/2})/(2*z*))^{1/2})
Involving sin^{-1}(((*z*-(*z*^{2}-1)^{1/2})/(2*z*))^{1/2}) and cos^{-1}(1/*z*)
Involving sin^{-1}(*c* *z*^{-r} (-1+*z*^{2 r}/*c*^{2})^{1/2})
Involving sin^{-1}(*c* *z*^{-r} (-1+*z*^{2 r}/*c*^{2})^{1/2}) and cos^{-1}(*c*/*z*^{r})
Involving tan^{-1}
Involving sin^{-1}(*z*)
Involving sin^{-1}(*z*) and tan^{-1}((1-*z*^{2})^{1/2}/*z*)
Involving sin^{-1}(*z*) and tan^{-1}((1-*z*^{2})^{1/2}/(*z*_{2})^{1/2})
Involving sin^{-1}(*z*) and tan^{-1}((*z*^{2}-1)^{1/2}/(-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and tan^{-1}(1-*z*^{2}/*z*^{2}^{1/2})
Involving sin^{-1}(*z*) and tan^{-1}(*z*/(1-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and tan^{-1}((*z*_{2})^{1/2}/(1-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and tan^{-1}((-*z*^{2})^{1/2}/(*z*^{2}-1)^{1/2})
Involving sin^{-1}(*z*) and tan^{-1}(*z*^{2}/1-*z*^{2}^{1/2})
Involving sin^{-1}(*z*) and tan^{-1}(2 *z* (1-*z*^{2})^{1/2}/1-2 *z*^{2})
Involving sin^{-1}(*z*) and tan^{-1}(1-2*z*^{2}/2 *z* (1-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and tan^{-1}((1-*z*)^{1/2}/(1+*z*)^{1/2})
Involving sin^{-1}(*z*) and tan^{-1}((*z*-1)^{1/2}/(-*z*-1)^{1/2})
Involving sin^{-1}(*z*) and tan^{-1}(1-*z*/1+*z*^{1/2})
Involving sin^{-1}(*z*) and tan^{-1}((1+*z*)^{1/2}/(1-*z*)^{1/2})
Involving sin^{-1}(*z*) and tan^{-1}((-*z*-1)^{1/2}/(*z*-1)^{1/2})
Involving sin^{-1}(*z*) and tan^{-1}(1+*z*/1-*z*^{1/2})
Involving sin^{-1}(*z*) and tan^{-1}((1-*z*^{2})^{1/2}+1/*z*)
Involving sin^{-1}(*z*) and tan^{-1}(1-(1-*z*^{2})^{1/2}/*z*)
Involving sin^{-1}(*z*) and tan^{-1}(*z*/1+(1-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and tan^{-1}(*z*/1-(1-*z*^{2})^{1/2})
Involving sin^{-1}(2 *z*/*z*^{2}+1)
Involving sin^{-1}(2 *z*/*z*^{2}+1) and tan^{-1}(*z*)
Involving sin^{-1}(2 *z*/*z*^{2}+1) and tan^{-1}(1/*z*)
Involving sin^{-1}(2 *z*/*z*^{2}+1) and tan^{-1}(*z*^{r})
Involving sin^{-1}(1-*z*/1+*z*)
Involving sin^{-1}(1-*z*/1+*z*) and tan^{-1}(*z*^{1/2})
Involving sin^{-1}(1-*z*/1+*z*) and tan^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1-*z*/1+*z*) and tan^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*-1/*z*+1)
Involving sin^{-1}(*z*-1/*z*+1) and tan^{-1}(*z*^{1/2})
Involving sin^{-1}(*z*-1/*z*+1) and tan^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*-1/*z*+1) and tan^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1+*z*/1-*z*)
Involving sin^{-1}(1+*z*/1-*z*) and tan^{-1}((-*z*)^{1/2})
Involving sin^{-1}(1+*z*/1-*z*) and tan^{-1}(1/(-*z*)^{1/2})
Involving sin^{-1}(1+*z*/1-*z*) and tan^{-1}((-1/*z*)^{1/2})
Involving sin^{-1}(*z*+1/*z*-1)
Involving sin^{-1}(*z*+1/*z*-1) and tan^{-1}((-*z*)^{1/2})
Involving sin^{-1}(*z*+1/*z*-1) and tan^{-1}(1/(-*z*)^{1/2})
Involving sin^{-1}(*z*+1/*z*-1) and tan^{-1}((-1/*z*)^{1/2})
Involving sin^{-1}(1-*z*^{2}/1+*z*^{2})
Involving sin^{-1}(1-*z*^{2}/1+*z*^{2}) and tan^{-1}(*z*)
Involving sin^{-1}(1-*z*^{2}/1+*z*^{2}) and tan^{-1}(1/*z*)
Involving sin^{-1}(*z*^{2}-1/*z*^{2}+1)
Involving sin^{-1}(*z*^{2}-1/*z*^{2}+1) and tan^{-1}(*z*)
Involving sin^{-1}(*z*^{2}-1/*z*^{2}+1) and tan^{-1}(1/*z*)
Involving sin^{-1}(1/(*z*+1)^{1/2})
Involving sin^{-1}(1/(*z*+1)^{1/2}) and tan^{-1}(*z*^{1/2})
Involving sin^{-1}(1/(*z*+1)^{1/2}) and tan^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/(*z*+1)^{1/2}) and tan^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/*z*+1^{1/2})
Involving sin^{-1}(1/*z*+1^{1/2}) and tan^{-1}(*z*^{1/2})
Involving sin^{-1}(1/*z*+1^{1/2}) and tan^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/*z*+1^{1/2}) and tan^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*^{1/2}/(*a*+*z*)^{1/2})
Involving sin^{-1}(*z*^{1/2}/(*a*+*z*)^{1/2}) and tan^{-1}(*z*/*a*^{1/2})
Involving sin^{-1}(*z*^{1/2}/(*z*+1)^{1/2}) and tan^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*^{1/2}/(*z*+1)^{1/2}) and tan^{-1}(1/*z*^{1/2})
Involving sin^{-1}((-*z*)^{1/2}/(-1-*z*)^{1/2})
Involving sin^{-1}((-*z*)^{1/2}/(-1-*z*)^{1/2}) and tan^{-1}(*z*^{1/2})
Involving sin^{-1}((-*z*)^{1/2}/(-1-*z*)^{1/2}) and tan^{-1}(1/*z*^{1/2})
Involving sin^{-1}((-*z*)^{1/2}/(-1-*z*)^{1/2}) and tan^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*/*z*+*a*^{1/2})
Involving sin^{-1}(*z*/*z*+*a*^{1/2}) and tan^{-1}(*z*/*a*^{1/2})
Involving sin^{-1}(*z*/*z*+1^{1/2}) and tan^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*/*z*+1^{1/2}) and tan^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/(*z*^{2}+1)^{1/2})
Involving sin^{-1}(1/(*z*^{2}+1)^{1/2}) and tan^{-1}(*z*)
Involving sin^{-1}(1/(*z*^{2}+1)^{1/2}) and tan^{-1}(1/*z*)
Involving sin^{-1}(1/*z*^{2}+1^{1/2})
Involving sin^{-1}(1/*z*^{2}+1^{1/2}) and tan^{-1}(*z*)
Involving sin^{-1}(1/*z*^{2}+1^{1/2}) and tan^{-1}(1/*z*)
Involving sin^{-1}(*z*/(*z*^{2}+1)^{1/2})
Involving sin^{-1}(*z*/(*z*^{2}+1)^{1/2}) and tan^{-1}(*z*)
Involving sin^{-1}(*z*/(*z*^{2}+1)^{1/2}) and tan^{-1}(1/*z*)
Involving sin^{-1}((*z*_{2})^{1/2}/(*z*^{2}+1)^{1/2})
Involving sin^{-1}((*z*_{2})^{1/2}/(*z*^{2}+1)^{1/2}) and tan^{-1}(*z*)
Involving sin^{-1}((*z*_{2})^{1/2}/(*z*^{2}+1)^{1/2}) and tan^{-1}(1/*z*)
Involving sin^{-1}((-*z*^{2})^{1/2}/(-*z*^{2}-1)^{1/2})
Involving sin^{-1}((-*z*^{2})^{1/2}/(-*z*^{2}-1)^{1/2}) and tan^{-1}(*z*)
Involving sin^{-1}((-*z*^{2})^{1/2}/(-*z*^{2}-1)^{1/2}) and tan^{-1}(1/*z*)
Involving sin^{-1}(*z*^{2}/*z*^{2}+1^{1/2})
Involving sin^{-1}(*z*^{2}/*z*^{2}+1^{1/2}) and tan^{-1}(*z*)
Involving sin^{-1}(*z*^{2}/*z*^{2}+1^{1/2}) and tan^{-1}(1/*z*)
Involving sin^{-1}(((1+*z*^{2})^{1/2}-1)^{1/2}/(2^{1/2}(1+*z*^{2})^{1/4}))
Involving sin^{-1}(((1+*z*^{2})^{1/2}-1)^{1/2}/(2^{1/2}(1+*z*^{2})^{1/4})) and tan^{-1}(*z*)
Involving sin^{-1}(((1+*z*^{2})^{1/2}-1)^{1/2}/(2^{1/2} (1+*z*^{2})^{1/4})) and tan^{-1}(1/*z*)
Involving sin^{-1}(((1+*z*^{2})^{1/2}-*z*)^{1/2}/(2^{1/2}(1+*z*^{2})^{1/4}))
Involving sin^{-1}(((1+*z*^{2})^{1/2}-*z*)^{1/2}/(2^{1/2}(1+*z*^{2})^{1/4})) and tan^{-1}(*z*)
Involving sin^{-1}(((1+*z*^{2})^{1/2}-*z*)^{1/2}/(2^{1/2} (1+*z*^{2})^{1/4})) and tan^{-1}(1/*z*)
Involving sin^{-1}((((1+*z*^{2})^{1/2}-1)/(2(1+*z*^{2})^{1/2}))^{1/2})
Involving sin^{-1}((((1+*z*^{2})^{1/2}-1)/(2(1+*z*^{2})^{1/2}))^{1/2}) and tan^{-1}(*z*)
Involving sin^{-1}((((*z*^{2}+1)^{1/2}-1)/(2(*z*^{2}+1)^{1/2}))^{1/2}) and tan^{-1}(1/*z*)
Involving sin^{-1}((((1+*z*^{2})^{1/2}-*z*)/(2(1+*z*^{2})^{1/2}))^{1/2})
Involving sin^{-1}((((1+*z*^{2})^{1/2}-*z*)/(2(1+*z*^{2})^{1/2}))^{1/2}) and tan^{-1}(*z*)
Involving sin^{-1}((((*z*^{2}+1)^{1/2}-*z*)/(2(*z*^{2}+1)^{1/2}))^{1/2}) and tan^{-1}(1/*z*)
Involving sin^{-1}(*r* *z*^{c}/(*r*^{2} *z*^{2 c}+1)^{1/2})
Involving sin^{-1}(*a* *z*^{c}/(*a*^{2} *z*^{2 c}+1)^{1/2}) and tan^{-1}(*a* *z*^{c})
Involving sin^{-1}(1/(*a* *z*^{c}+1)^{1/2})
Involving sin^{-1}(1/(*a* *z*^{c}+1)^{1/2}) and tan^{-1}(1/*a*^{1/2} *z*^{c/2})
Involving cot^{-1}
Involving sin^{-1}(*z*)
Involving sin^{-1}(*z*) and cot^{-1}(*z*/(1-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and cot^{-1}((*z*_{2})^{1/2}/(1-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and cot^{-1}((-*z*^{2})^{1/2}/(*z*^{2}-1)^{1/2})
Involving sin^{-1}(*z*) and cot^{-1}(*z*^{2}/1-*z*^{2}^{1/2})
Involving sin^{-1}(*z*) and cot^{-1}((1-*z*^{2})^{1/2}/*z*)
Involving sin^{-1}(*z*) and cot^{-1}((1-*z*^{2})^{1/2}/(*z*_{2})^{1/2})
Involving sin^{-1}(*z*) and cot^{-1}((*z*^{2}-1)^{1/2}/(-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and cot^{-1}(1-*z*^{2}/*z*^{2}^{1/2})
Involving sin^{-1}(*z*) and cot^{-1}(2 *z* (1-*z*^{2})^{1/2}/1-2 *z*^{2})
Involving sin^{-1}(*z*) and cot^{-1}(1-2 *z*^{2}/2 *z* (1-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and cot^{-1}((1-*z*)^{1/2}/(1+*z*)^{1/2})
Involving sin^{-1}(*z*) and cot^{-1}((*z*-1)^{1/2}/(-*z*-1)^{1/2})
Involving sin^{-1}(*z*) and cot^{-1}(1-*z*/1+*z*^{1/2})
Involving sin^{-1}(*z*) and cot^{-1}((1+*z*)^{1/2}/(1-*z*)^{1/2})
Involving sin^{-1}(*z*) and cot^{-1}((-*z*-1)^{1/2}/(*z*-1)^{1/2})
Involving sin^{-1}(*z*) and cot^{-1}(1+*z*/1-*z*^{1/2})
Involving sin^{-1}(*z*) and cot^{-1}(1+(1-*z*^{2})^{1/2}/*z*)
Involving sin^{-1}(*z*) and cot^{-1}(1-(1-*z*^{2})^{1/2}/*z*)
Involving sin^{-1}(*z*) and cot^{-1}(*z*/1+(1-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and cot^{-1}(*z*/1-(1-*z*^{2})^{1/2})
Involving sin^{-1}(2 *z*/*z*^{2}+1)
Involving sin^{-1}(2 *z*/*z*^{2}+1) and cot^{-1}(*z*)
Involving sin^{-1}(2 *z*/*z*^{2}+1) and cot^{-1}(1/*z*)
Involving sin^{-1}(2 *z*/*z*^{2}+1) and cot^{-1}(*z*^{r})
Involving sin^{-1}(1-*z*/1+*z*)
Involving sin^{-1}(1-*z*/1+*z*) and cot^{-1}(*z*^{1/2})
Involving sin^{-1}(1-*z*/1+*z*) and cot^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1-*z*/1+*z*) and cot^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*-1/*z*+1)
Involving sin^{-1}(*z*-1/*z*+1) and cot^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*-1/*z*+1) and cot^{-1}(*z*^{1/2})
Involving sin^{-1}(*z*-1/*z*+1) and cot^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1+*z*/1-*z*)
Involving sin^{-1}(1+*z*/1-*z*) and cot^{-1}((-*z*)^{1/2})
Involving sin^{-1}(1+*z*/1-*z*) and cot^{-1}(1/(-*z*)^{1/2})
Involving sin^{-1}(1+*z*/1-*z*) and cot^{-1}((-1/*z*)^{1/2})
Involving sin^{-1}(*z*+1/*z*-1)
Involving sin^{-1}(*z*+1/*z*-1) and cot^{-1}((-*z*)^{1/2})
Involving sin^{-1}(*z*+1/*z*-1) and cot^{-1}(1/(-*z*)^{1/2})
Involving sin^{-1}(*z*+1/*z*-1) and cot^{-1}((-1/*z*)^{1/2})
Involving sin^{-1}(1-*z*^{2}/1+*z*^{2})
Involving sin^{-1}(1-*z*^{2}/1+*z*^{2}) and cot^{-1}(*z*)
Involving sin^{-1}(1-*z*^{2}/1+*z*^{2}) and cot^{-1}(1/*z*)
Involving sin^{-1}(*z*^{2}-1/*z*^{2}+1)
Involving sin^{-1}(*z*^{2}-1/*z*^{2}+1) and cot^{-1}(*z*)
Involving sin^{-1}(*z*^{2}-1/*z*^{2}+1) and cot^{-1}(1/*z*)
Involving sin^{-1}(1/(*z*+1)^{1/2})
Involving sin^{-1}(1/(*z*+1)^{1/2}) and cot^{-1}(*z*^{1/2})
Involving sin^{-1}(1/(*z*+1)^{1/2}) and cot^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/(*z*+1)^{1/2}) and cot^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/*z*+1^{1/2})
Involving sin^{-1}(1/*z*+1^{1/2}) and cot^{-1}(*z*^{1/2})
Involving sin^{-1}(1/*z*+1^{1/2}) and cot^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/*z*+1^{1/2}) and cot^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*^{1/2}/(*a*+*z*)^{1/2})
Involving sin^{-1}(*z*^{1/2}/(*z*+1)^{1/2}) and cot^{-1}(*z*^{1/2})
Involving sin^{-1}(*z*^{1/2}/(*z*+1)^{1/2}) and cot^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*^{1/2}/(*z*+1)^{1/2}) and cot^{-1}(1/*z*^{1/2})
Involving sin^{-1}((-*z*)^{1/2}/(-*z*-1)^{1/2})
Involving sin^{-1}((-*z*)^{1/2}/(-*z*-1)^{1/2}) and cot^{-1}(*z*^{1/2})
Involving sin^{-1}((-*z*)^{1/2}/(-*z*-1)^{1/2}) and cot^{-1}(1/*z*^{1/2})
Involving sin^{-1}((-*z*)^{1/2}/(-*z*-1)^{1/2}) and cot^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*/*z*+1^{1/2})
Involving sin^{-1}(*z*/*z*+1^{1/2}) and cot^{-1}(*z*^{1/2})
Involving sin^{-1}(*z*/*z*+1^{1/2}) and cot^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*/*z*+1^{1/2}) and cot^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/(*z*^{2}+1)^{1/2})
Involving sin^{-1}(1/(*z*^{2}+1)^{1/2}) and cot^{-1}(*z*)
Involving sin^{-1}(1/(*z*^{2}+1)^{1/2}) and cot^{-1}(1/*z*)
Involving sin^{-1}(1/*z*^{2}+1^{1/2})
Involving sin^{-1}(1/*z*^{2}+1^{1/2}) and cot^{-1}(*z*)
Involving sin^{-1}(1/*z*^{2}+1^{1/2}) and cot^{-1}(1/*z*)
Involving sin^{-1}(*z*/(*z*^{2}+1)^{1/2})
Involving sin^{-1}(*z*/(*z*^{2}+1)^{1/2}) and cot^{-1}(*z*)
Involving sin^{-1}(*z*/(*z*^{2}+1)^{1/2}) and cot^{-1}(1/*z*)
Involving sin^{-1}((*z*_{2})^{1/2}/(*z*^{2}+1)^{1/2})
Involving sin^{-1}((*z*_{2})^{1/2}/(*z*^{2}+1)^{1/2}) and cot^{-1}(*z*)
Involving sin^{-1}((*z*_{2})^{1/2}/(*z*^{2}+1)^{1/2}) and cot^{-1}(1/*z*)
Involving sin^{-1}((-*z*^{2})^{1/2}/(-*z*^{2}-1)^{1/2})
Involving sin^{-1}((-*z*^{2})^{1/2}/(-*z*^{2}-1)^{1/2}) and cot^{-1}(*z*)
Involving sin^{-1}((-*z*^{2})^{1/2}/(-*z*^{2}-1)^{1/2}) and cot^{-1}(1/*z*)
Involving sin^{-1}(*z*^{2}/*z*^{2}+1^{1/2})
Involving sin^{-1}(*z*^{2}/*z*^{2}+1^{1/2}) and cot^{-1}(*z*)
Involving sin^{-1}(*z*^{2}/*z*^{2}+1^{1/2}) and cot^{-1}(1/*z*)
Involving sin^{-1}(((1+*z*^{2})^{1/2}-1)^{1/2}/(2^{1/2} (1+*z*^{2})^{1/4}))
Involving sin^{-1}(((1+*z*^{2})^{1/2}-1)^{1/2}/(2^{1/2} (1+*z*^{2})^{1/4})) and cot^{-1}(*z*)
Involving sin^{-1}(((1+*z*^{2})^{1/2}-1)^{1/2}/(2^{1/2} (1+*z*^{2})^{1/4})) and cot^{-1}(1/*z*)
Involving sin^{-1}(((1+*z*^{2})^{1/2}-*z*)^{1/2}/(2^{1/2} (1+*z*^{2})^{1/4}))
Involving sin^{-1}(((1+*z*^{2})^{1/2}-*z*)^{1/2}/(2^{1/2} (1+*z*^{2})^{1/4})) and cot^{-1}(*z*)
Involving sin^{-1}(((1+*z*^{2})^{1/2}-*z*)^{1/2}/(2^{1/2} (1+*z*^{2})^{1/4})) and cot^{-1}(1/*z*)
Involving sin^{-1}((((*z*^{2}+1)^{1/2}-1)/(2(*z*^{2}+1)^{1/2}))^{1/2})
Involving sin^{-1}((((*z*^{2}+1)^{1/2}-1)/(2(*z*^{2}+1)^{1/2}))^{1/2}) and cot^{-1}(*z*)
Involving sin^{-1}((((*z*^{2}+1)^{1/2}-1)/(2(*z*^{2}+1)^{1/2}))^{1/2}) and cot^{-1}(1/*z*)
Involving sin^{-1}((((*z*^{2}+1)^{1/2}-*z*)/(2(*z*^{2}+1)^{1/2}))^{1/2})
Involving sin^{-1}((((*z*^{2}+1)^{1/2}-*z*)/(2(*z*^{2}+1)^{1/2}))^{1/2}) and cot^{-1}(*z*)
Involving sin^{-1}((((*z*^{2}+1)^{1/2}-*z*)/(2(*z*^{2}+1)^{1/2}))^{1/2}) and cot^{-1}(1/*z*)
Involving sin^{-1}(1/(*a* *z*^{c}+1)^{1/2})
Involving sin^{-1}(1/(*a* *z*^{c}+1)^{1/2}) and cot^{-1}(*a*^{1/2} *z*^{c/2})
Involving csc^{-1}
Involving sin^{-1}(*z*)
Involving sin^{-1}(*z*) and csc^{-1}(1/*z*)
Involving sin^{-1}(*z*) and csc^{-1}(1/1-2*z*^{2})
Involving sin^{-1}(*z*) and csc^{-1}(1/2*z*^{2}-1)
Involving sin^{-1}(*z*) and csc^{-1}(2^{1/2}/(1+*z*)^{1/2})
Involving sin^{-1}(*z*) and csc^{-1}(2/1+*z*^{1/2})
Involving sin^{-1}(*z*) and csc^{-1}(2^{1/2}/(1-*z*)^{1/2})
Involving sin^{-1}(*z*) and csc^{-1}(2/1-*z*^{1/2})
Involving sin^{-1}(*z*) and csc^{-1}(1/(*z*_{2})^{1/2})
Involving sin^{-1}(*z*) and csc^{-1}(1/*z*^{2}^{1/2})
Involving sin^{-1}(*z*) and csc^{-1}(1/(1-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and csc^{-1}(1/1-*z*^{2}^{1/2})
Involving sin^{-1}(*z*) and csc^{-1}(1/2 *z* (1-*z*^{2})^{1/2})
Involving sin^{-1}(*z*^{1/2})
Involving sin^{-1}(*z*^{1/2}) and csc^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*^{1/2}) and csc^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/*z*^{1/2}) and csc^{-1}(*z*^{1/2})
Involving sin^{-1}(1/*z*^{1/2}) and csc^{-1}(1/1/*z*^{1/2})
Involving sin^{-1}((*z*_{2})^{1/2})
Involving sin^{-1}((*z*_{2})^{1/2}) and csc^{-1}(1/*z*)
Involving sin^{-1}(*a* (*b* *z*^{c})^{m})
Involving sin^{-1}(*a* (*b* *z*^{c})^{m}) and csc^{-1}(1/*a* *b*^{m} *z*^{m c})
Involving sin^{-1}(1-2 *z*^{2})
Involving sin^{-1}(1-2 *z*^{2}) and csc^{-1}(1/*z*)
Involving sin^{-1}(2 *z*^{2}-1)
Involving sin^{-1}(2 *z*^{2}-1) and csc^{-1}(1/*z*)
Involving sin^{-1}(*z*^{2}-2/*z*^{2})
Involving sin^{-1}(*z*^{2}-2/*z*^{2}) and csc^{-1}(*z*)
Involving sin^{-1}(2-*z*^{2}/*z*^{2})
Involving sin^{-1}(2-*z*^{2}/*z*^{2}) and csc^{-1}(*z*)
Involving sin^{-1}((1- *z*)^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}) and csc^{-1}(1/*z*^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}) and csc^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1+*c* *z*/2^{1/2})
Involving sin^{-1}(1+*z*/2^{1/2}) and csc^{-1}(1/*z*)
Involving sin^{-1}(1-*z*/2^{1/2}) and csc^{-1}(1/*z*)
Involving sin^{-1}((*z*-*a*)^{1/2}/*z*^{1/2})
Involving sin^{-1}((*z*-*a*)^{1/2}/*z*^{1/2}) and csc^{-1}(*z*/*a*^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}/(-*z*)^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}/(-*z*)^{1/2}) and csc^{-1}(*z*^{1/2})
Involving sin^{-1}(*z*-1/*z*^{1/2})
Involving sin^{-1}(*z*-1/*z*^{1/2}) and csc^{-1}(*z*^{1/2})
Involving sin^{-1}((*z*+*a*)^{1/2}/(2 *z*)^{1/2})
Involving sin^{-1}((*z*-1)^{1/2}/(2 *z*)^{1/2}) and csc^{-1}(*z*)
Involving sin^{-1}((*z*+1)^{1/2}/(2 *z*)^{1/2}) and csc^{-1}(*z*)
Involving sin^{-1}((*a*-*z*)^{1/2}/(-2*z*)^{1/2})
Involving sin^{-1}((-1-*z*)^{1/2}/(-2*z*)^{1/2}) and csc^{-1}(*z*)
Involving sin^{-1}((1-*z*)^{1/2}/(-2*z*)^{1/2}) and csc^{-1}(*z*)
Involving sin^{-1}(*z*+*a*/2 *z*^{1/2})
Involving sin^{-1}(*z*-1/2 *z*^{1/2}) and csc^{-1}(*z*)
Involving sin^{-1}(*z*+1/2 *z*^{1/2}) and csc^{-1}(*z*)
Involving sin^{-1}((1-*z*^{2})^{1/2})
Involving sin^{-1}((1-*z*^{2})^{1/2}) and csc^{-1}(1/*z*)
Involving sin^{-1}((*z*^{2}-1)^{1/2}/*z*)
Involving sin^{-1}((*z*^{2}-1)^{1/2}/*z*) and csc^{-1}(*z*)
Involving sin^{-1}((*z*^{2}-1)^{1/2}/(*z*_{2})^{1/2})
Involving sin^{-1}((*z*^{2}-1)^{1/2}/(*z*_{2})^{1/2}) and csc^{-1}(*z*)
Involving sin^{-1}((1-*z*^{2})^{1/2}/(-*z*^{2})^{1/2})
Involving sin^{-1}((1-*z*^{2})^{1/2}/(-*z*^{2})^{1/2}) and csc^{-1}(*z*)
Involving sin^{-1}(*z*^{2}-1/*z*^{2}^{1/2})
Involving sin^{-1}(*z*^{2}-1/*z*^{2}^{1/2}) and csc^{-1}(*z*)
Involving sin^{-1}(2 *z* (1-*z*^{2})^{1/2})
Involving sin^{-1}(2 *z* (1-*z*^{2})^{1/2}) and csc^{-1}(1/*z*)
Involving sin^{-1}(2 (*z*^{2}-1)^{1/2}/*z*^{2})
Involving sin^{-1}(2 (*z*^{2}-1)^{1/2}/*z*^{2}) and csc^{-1}(*z*)
Involving sin^{-1}(((1-(1+*c* *z*^{2})^{1/2})/2)^{1/2})
Involving sin^{-1}(((1-(1+*z*^{2})^{1/2})/2)^{1/2}) and csc^{-1}(*i*/*z*)
Involving sin^{-1}(((1-(1-*z*^{2})^{1/2})/2)^{1/2}) and csc^{-1}(1/*z*)
Involving sin^{-1}(*z* (1-(1-*z*^{2})^{1/2})^{1/2}/(2*z*^{2})^{1/2})
Involving sin^{-1}(*z* (1-(1-*z*^{2})^{1/2})^{1/2}/(2*z*^{2})^{1/2}) and csc^{-1}(1/*z*)
Involving sin^{-1}(*z* ((1-(1-*z*^{2})^{1/2})(2*z*^{2}))^{1/2})
Involving sin^{-1}(*z* ((1-(1-*z*^{2})^{1/2})(2*z*^{2}))^{1/2}) and csc^{-1}(1/*z*)
Involving sin^{-1}((*z*-(*z*^{2}-1)^{1/2})^{1/2}/(2*z*)^{1/2})
Involving sin^{-1}((*z*-(*z*^{2}-1)^{1/2})^{1/2}/(2*z*)^{1/2}) and csc^{-1}(*z*)
Involving sin^{-1}(((*z*-(*z*^{2}-1)^{1/2})/(2*z*))^{1/2})
Involving sin^{-1}(((*z*-(*z*^{2}-1)^{1/2})/(2*z*))^{1/2}) and csc^{-1}(*z*)
Involving sin^{-1}(*c* *z*^{-r} (-1+*z*^{2 r}/*c*^{2})^{1/2})
Involving sin^{-1}(*c* *z*^{-r} (-1+*z*^{2 r}/*c*^{2})^{1/2}) and csc^{-1}(*z*^{r}/*c*)
Involving sec^{-1}
Involving sin^{-1}(*z*)
Involving sin^{-1}(*z*) and sec^{-1}(1/*z*)
Involving sin^{-1}(*z*) and sec^{-1}(-1/*z*)
Involving sin^{-1}(*z*) and sec^{-1}(1/1-2 *z*^{2})
Involving sin^{-1}(*z*) and sec^{-1}(1/2 *z*^{2}-1)
Involving sin^{-1}(*z*) and sec^{-1}(2^{1/2}/(1+*z*)^{1/2})
Involving sin^{-1}(*z*) and sec^{-1}(2/1+*z*^{1/2})
Involving sin^{-1}(*z*) and sec^{-1}(2^{1/2}/(1-*z*)^{1/2})
Involving sin^{-1}(*z*) and sec^{-1}(2/1-*z*^{1/2})
Involving sin^{-1}(*z*) and sec^{-1}(1/(*z*_{2})^{1/2})
Involving sin^{-1}(*z*) and sec^{-1}(1/*z*^{2}^{1/2})
Involving sin^{-1}(*z*) and sec^{-1}(1/(1-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and sec^{-1}(1/1-*z*^{2}^{1/2})
Involving sin^{-1}(*z*) and sec^{-1}(1/2 *z* (1-*z*^{2})^{1/2})
Involving sin^{-1}(*z*^{1/2})
Involving sin^{-1}(*z*^{1/2}) and sec^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*^{1/2}) and sec^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/*z*^{1/2}) and sec^{-1}(*z*^{1/2})
Involving sin^{-1}(1/*z*^{1/2}) and sec^{-1}(1/1/*z*^{1/2})
Involving sin^{-1}((*z*_{2})^{1/2})
Involving sin^{-1}((*z*_{2})^{1/2}) and sec^{-1}(1/*z*)
Involving sin^{-1}(*a* (*b* *z*^{c})^{m})
Involving sin^{-1}(*a* (*b* *z*^{c})^{m}) and sec^{-1}(1/*a* *b*^{m} *z*^{m c})
Involving sin^{-1}(1-2 *z*^{2})
Involving sin^{-1}(1-2 *z*^{2}) and sec^{-1}(1/*z*)
Involving sin^{-1}(2 *z*^{2}-1)
Involving sin^{-1}(2 *z*^{2}-1) and sec^{-1}(1/*z*)
Involving sin^{-1}(*z*^{2}-2/*z*^{2})
Involving sin^{-1}(*z*^{2}-2/*z*^{2}) and sec^{-1}(*z*)
Involving sin^{-1}(2-*z*^{2}/*z*^{2})
Involving sin^{-1}(2-*z*^{2}/*z*^{2}) and sec^{-1}(*z*)
Involving sin^{-1}((1-*z*)^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}) and sec^{-1}(1/*z*^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}) and sec^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1+*c* *z*/2^{1/2})
Involving sin^{-1}(1+*z*/2^{1/2}) and sec^{-1}(1/*z*)
Involving sin^{-1}(1-*z*/2^{1/2}) and sec^{-1}(1/*z*)
Involving sin^{-1}((*z*-1)^{1/2}/*z*^{1/2})
Involving sin^{-1}((*z*-1)^{1/2}/*z*^{1/2}) and sec^{-1}(*z*^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}/(-*z*)^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}/(-*z*)^{1/2}) and sec^{-1}(*z*^{1/2})
Involving sin^{-1}(*z*-1/*z*^{1/2})
Involving sin^{-1}(*z*-1/*z*^{1/2}) and sec^{-1}(*z*^{1/2})
Involving sin^{-1}((*z*+*a*)^{1/2}/(2 *z*)^{1/2})
Involving sin^{-1}((*z*-1)^{1/2}/(2 *z*)^{1/2}) and sec^{-1}(*z*)
Involving sin^{-1}((*z*+1)^{1/2}/(2 *z*)^{1/2}) and sec^{-1}(*z*)
Involving sin^{-1}((*a*-*z*)^{1/2}/(-2 *z*)^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}/(-2 *z*)^{1/2}) and sec^{-1}(*z*)
Involving sin^{-1}((-*z*-1)^{1/2}/(-2 *z*)^{1/2}) and sec^{-1}(*z*)
Involving sin^{-1}(*z*+*a*/2 *z*^{1/2})
Involving sin^{-1}(*z*-1/2 *z*^{1/2}) and sec^{-1}(*z*)
Involving sin^{-1}(*z*+1/2 *z*^{1/2}) and sec^{-1}(*z*)
Involving sin^{-1}((1-*z*^{2})^{1/2})
Involving sin^{-1}((1-*z*^{2})^{1/2}) and sec^{-1}(1/*z*)
Involving sin^{-1}((*z*^{2}-1)^{1/2}/*z*)
Involving sin^{-1}((*z*^{2}-1)^{1/2}/*z*) and sec^{-1}(*z*)
Involving sin^{-1}((*z*^{2}-1)^{1/2}/(*z*_{2})^{1/2})
Involving sin^{-1}((*z*^{2}-1)^{1/2}/(*z*_{2})^{1/2}) and sec^{-1}(*z*)
Involving sin^{-1}((1-*z*^{2})^{1/2}/(-*z*^{2})^{1/2})
Involving sin^{-1}((1-*z*^{2})^{1/2}/(-*z*^{2})^{1/2}) and sec^{-1}(*z*)
Involving sin^{-1}(*z*^{2}-1/*z*^{2}^{1/2})
Involving sin^{-1}(*z*^{2}-1/*z*^{2}^{1/2}) and sec^{-1}(*z*)
Involving sin^{-1}(2 *z* (1-*z*^{2})^{1/2})
Involving sin^{-1}(2 *z* (1-*z*^{2})^{1/2}) and sec^{-1}(1/*z*)
Involving sin^{-1}(2 (*z*^{2}-1)^{1/2}/*z*^{2})
Involving sin^{-1}(2 (*z*^{2}-1)^{1/2}/*z*^{2}) and sec^{-1}(*z*)
Involving sin^{-1}(((1-(1+*c* *z*^{2})^{1/2})/2)^{1/2})
Involving sin^{-1}(((1-(1+*z*^{2})^{1/2})/2)^{1/2}) and sec^{-1}(-*i*/*z*)
Involving sin^{-1}(((1-(1-*z*^{2})^{1/2})/2)^{1/2}) and sec^{-1}(1/*z*)
Involving sin^{-1}(*z* (1-(1-*z*^{2})^{1/2})^{1/2}/(2*z*^{2})^{1/2})
Involving sin^{-1}(*z* (1-(1-*z*^{2})^{1/2})^{1/2}/(2*z*^{2})^{1/2}) and sec^{-1}(1/*z*)
Involving sin^{-1}(*z* ((1-(1-*z*^{2})^{1/2})/(2*z*^{2}))^{1/2})
Involving sin^{-1}(*z* ((1-(1-*z*^{2})^{1/2})/(2*z*^{2}))^{1/2}) and sec^{-1}(1/*z*)
Involving sin^{-1}((*z*-(*z*^{2}-1)^{1/2})^{1/2}/(2*z*)^{1/2})
Involving sin^{-1}((*z*-(*z*^{2}-1)^{1/2})^{1/2}/(2*z*)^{1/2}) and sec^{-1}(*z*)
Involving sin^{-1}(((*z*-(*z*^{2}-1)^{1/2})/(2*z*))^{1/2})
Involving sin^{-1}(((*z*-(*z*^{2}-1)^{1/2})/(2*z*))^{1/2}) and sec^{-1}(*z*)
Involving sin^{-1}(*c* *z*^{-r} (-1+*z*^{2 r}/*c*^{2})^{1/2})
Involving sin^{-1}(*c* *z*^{-r} (-1+*z*^{2 r}/*c*^{2})^{1/2}) and sec^{-1}(*z*^{r}/*c*)
Involving sinh^{-1}
Involving sin^{-1}(*z*)
Involving sin^{-1}(*z*) and sinh^{-1}(*i* *z*)
Involving sin^{-1}(*z*) and sinh^{-1}(*i*(2*z*^{2}-1))
Involving sin^{-1}(*z*) and sinh^{-1}(*z*-1/2^{1/2})
Involving sin^{-1}(*z*) and sinh^{-1}(-*z*-1/2^{1/2})
Involving sin^{-1}(*z*) and sinh^{-1}((-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and sinh^{-1}((*z*^{2}-1)^{1/2})
Involving sin^{-1}(*z*) and sinh^{-1}(2 *z* (*z*^{2}-1)^{1/2})
Involving sin^{-1}(*i* *z*)
Involving sin^{-1}(*i* *z*) and sinh^{-1}(*z*)
Involving sin^{-1}((*c* *z*)^{1/2})
Involving sin^{-1}(*z*^{1/2}) and sinh^{-1}((-*z*)^{1/2})
Involving sin^{-1}((-*z*)^{1/2}) and sinh^{-1}(*z*^{1/2})
Involving sin^{-1}(1/(*c* *z*)^{1/2})
Involving sin^{-1}(1/*z*^{1/2}) and sinh^{-1}(1/(-*z*)^{1/2})
Involving sin^{-1}(1/*z*^{1/2}) and sinh^{-1}((-1/*z*)^{1/2})
Involving sin^{-1}(1/(-*z*)^{1/2}) and sinh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/(-*z*)^{1/2}) and sinh^{-1}(1/*z*^{1/2})
Involving sin^{-1}((*c* *z*^{2})^{1/2})
Involving sin^{-1}((*z*_{2})^{1/2}) and sinh^{-1}(*i* *z*)
Involving sin^{-1}((-*z*^{2})^{1/2}) and sinh^{-1}(*z*)
Involving sin^{-1}(*a* (*b* *z*^{c})^{m})
Involving sin^{-1}(*a* (*b* *z*^{c})^{m}) and sinh^{-1}(*i* *a* *b*^{m} *z*^{m c})
Involving sin^{-1}(1+2 *z*^{2})
Involving sin^{-1}(1+2 *z*^{2}) and sinh^{-1}(*z*)
Involving sin^{-1}(*z*^{2}+2/*z*^{2})
Involving sin^{-1}(*z*^{2}+2/*z*^{2}) and sinh^{-1}(1/*z*)
Involving sin^{-1}((1+ *z*)^{1/2})
Involving sin^{-1}((*z*+1)^{1/2}) and sinh^{-1}(*z*^{1/2})
Involving sin^{-1}((1+*c* *z*)^{1/2}/2^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}/2^{1/2}) and sinh^{-1}(*i* *z*)
Involving sin^{-1}((1+*z*)^{1/2}/2^{1/2}) and sinh^{-1}(*i* *z*)
Involving sin^{-1}((*z*+1)^{1/2}/*z*^{1/2})
Involving sin^{-1}((*z*+1)^{1/2}/*z*^{1/2}) and sinh^{-1}(1/*z*^{1/2})
Involving sin^{-1}((*z*+1)^{1/2}/*z*^{1/2}) and sinh^{-1}(1/*z*^{1/2})
Involving sin^{-1}((-1-*z*)^{1/2}/(-*z*)^{1/2})
Involving sin^{-1}((-1-*z*)^{1/2}/(-*z*)^{1/2}) and sinh^{-1}(1/*z*^{1/2})
Involving sin^{-1}((-1-*z*)^{1/2}/(-*z*)^{1/2}) and sinh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*+1/*z*^{1/2})
Involving sin^{-1}(*z*+1/*z*^{1/2}) and sinh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*+1/*z*^{1/2}) and sinh^{-1}(1/*z*^{1/2})
Involving sin^{-1}((*a* *z*^{c}+1)^{1/2})
Involving sin^{-1}((*a* *z*^{c}+1)^{1/2}) and sinh^{-1}(*a*^{1/2} *z*^{c/2})
Involving sin^{-1}((*z*^{2}+1)^{1/2}/*z*)
Involving sin^{-1}((*z*^{2}+1)^{1/2}/*z*) and sinh^{-1}(1/*z*)
Involving sin^{-1}((1+*z*^{2})^{1/2}/(*z*_{2})^{1/2})
Involving sin^{-1}((1+*z*^{2})^{1/2}/(*z*_{2})^{1/2}) and sinh^{-1}(1/*z*)
Involving sin^{-1}((-1-*z*^{2})^{1/2}/(-*z*^{2})^{1/2})
Involving sin^{-1}((-1-*z*^{2})^{1/2}/(-*z*^{2})^{1/2}) and sinh^{-1}(1/*z*)
Involving sin^{-1}(*z*^{2}+1/*z*^{2}^{1/2})
Involving sin^{-1}(*z*^{2}+1/*z*^{2}^{1/2}) and sinh^{-1}(1/*z*)
Involving sin^{-1}(2 *z* (-1-*z*^{2})^{1/2})
Involving sin^{-1}(2 *z* (-1-*z*^{2})^{1/2}) and sinh^{-1}(*z*)
Involving sin^{-1}(2 (-1-*z*^{2})^{1/2}/*z*^{2})
Involving sin^{-1}(2 (-1-*z*^{2})^{1/2}/*z*^{2}) and sinh^{-1}(1/*z*)
Involving sin^{-1}(((1-(1+*z*^{2})^{1/2})/2)^{1/2})
Involving sin^{-1}(((1-(1+*z*^{2})^{1/2})/2)^{1/2}) and sinh^{-1}(*z*)
Involving sin^{-1}(*z* (1-(1+*z*^{2})^{1/2})^{1/2}/(2*z*^{2})^{1/2})
Involving sin^{-1}(*z* (1-(1+*z*^{2})^{1/2})^{1/2}/(2*z*^{2})^{1/2}) and sinh^{-1}(*z*)
Involving sin^{-1}(*z* ((1-(1+*z*^{2})^{1/2})/(2*z*^{2}))^{1/2})
Involving sin^{-1}(*z* ((1-(1+*z*^{2})^{1/2})/(2*z*^{2}))^{1/2}) and sinh^{-1}(*z*)
Involving sin^{-1}((*z*-(*z*^{2}+1)^{1/2})^{1/2}/(2*z*)^{1/2})
Involving sin^{-1}((*z*-(*z*^{2}+1)^{1/2})^{1/2}/(2*z*)^{1/2}) and sinh^{-1}(1/*z*)
Involving sin^{-1}(((*z*-(1+*z*^{2})^{1/2})/(2*z*))^{1/2})
Involving sin^{-1}(((*z*-(1+*z*^{2})^{1/2})/(2*z*))^{1/2}) and sinh^{-1}(1/*z*)
Involving cosh^{-1}
Involving sin^{-1}(*z*)
Involving sin^{-1}(*z*) and cosh^{-1}(*z*)
Involving sin^{-1}(*z*) and cosh^{-1}(-*z*)
Involving sin^{-1}(*z*) and cosh^{-1}(1-2 *z*^{2})
Involving sin^{-1}(*z*) and cosh^{-1}(2 *z*^{2}-1)
Involving sin^{-1}(*z*) and cosh^{-1}(1+*z*/2^{1/2})
Involving sin^{-1}(*z*) and cosh^{-1}(1-*z*/2^{1/2})
Involving sin^{-1}(*z*) and cosh^{-1}((*z*_{2})^{1/2})
Involving sin^{-1}(*z*) and cosh^{-1}((1-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and cosh^{-1}(2 *z* (1-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and cosh^{-1}(2 (-1+1/*z*^{2})^{1/2} *z*^{2})
Involving sin^{-1}((*c* *z*)^{1/2})
Involving sin^{-1}(*z*^{1/2}) and cosh^{-1}(*z*^{1/2})
Involving sin^{-1}(*z*^{1/2}) and cosh^{-1}(1/1/*z*^{1/2})
Involving sin^{-1}((-*z*)^{1/2}) and cosh^{-1}((1+*z*)^{1/2})
Involving sin^{-1}((-*z*)^{1/2}) and cosh^{-1}(1+2 *z*)
Involving sin^{-1}(1/(*c* *z*)^{1/2})
Involving sin^{-1}(1/*z*^{1/2}) and cosh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/*z*^{1/2}) and cosh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/(-*z*)^{1/2}) and cosh^{-1}(*z*+1/*z*^{1/2})
Involving sin^{-1}(1/(-*z*)^{1/2}) and cosh^{-1}(*z*+2/*z*)
Involving sin^{-1}(( *z*^{2})^{1/2})
Involving sin^{-1}((*z*_{2})^{1/2}) and cosh^{-1}(*z*)
Involving sin^{-1}(*a* (*b* *z*^{c})^{m})
Involving sin^{-1}(*a* (*b* *z*^{c})^{m}) and cosh^{-1}(*a* *b*^{m} *z*^{m c})
Involving sin^{-1}(1-2*z*^{2})
Involving sin^{-1}(1-2 *z*^{2}) and cosh^{-1}(*z*)
Involving sin^{-1}(2 *z*^{2}-1)
Involving sin^{-1}(2 *z*^{2}-1) and cosh^{-1}(*z*)
Involving sin^{-1}(*z*^{2}-2/*z*^{2})
Involving sin^{-1}(*z*^{2}-2/*z*^{2}) and cosh^{-1}(1/*z*)
Involving sin^{-1}(2-*z*^{2}/*z*^{2})
Involving sin^{-1}(2-*z*^{2}/*z*^{2}) and cosh^{-1}(1/*z*)
Involving sin^{-1}((1-*z*)^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}) and cosh^{-1}(*z*^{1/2})
Involving sin^{-1}((1+*c* *z*)^{1/2}/2^{1/2})
Involving sin^{-1}(1+*z*/2^{1/2}) and cosh^{-1}(*z*)
Involving sin^{-1}(1-*z*/2^{1/2}) and cosh^{-1}(*z*)
Involving sin^{-1}((*z*+*a*)^{1/2}/*z*^{1/2})
Involving sin^{-1}((*z*-1)^{1/2}/*z*^{1/2}) and cosh^{-1}(1/*z*^{1/2})
Involving sin^{-1}((*z*-1)^{1/2}/*z*^{1/2}) and cosh^{-1}(1/*z*^{1/2})
Involving sin^{-1}((*z*+1)^{1/2}/*z*^{1/2}) and cosh^{-1}(1+2/*z*)
Involving sin ^{-1}((*z*+1)^{1/2}/*z*^{1/2}) and cosh^{-1}(*z*+1/*z*^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}/(-*z*)^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}/(-*z*)^{1/2}) and cosh^{-1}(1/*z*^{1/2})
Involving sin^{-1}((1-*z*)^{1/2}/(-*z*)^{1/2}) and cosh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*+*a*/*z*^{1/2})
Involving sin^{-1}(*z*-1/*z*^{1/2}) and cosh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*-1/*z*^{1/2}) and cosh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*+1/*z*^{1/2}) and cosh^{-1}(*z*+1/*z*^{1/2})
Involving sin^{-1}((*z*+*a*)^{1/2}/(2 *z*)^{1/2})
Involving sin^{-1}((*z*+1)^{1/2}/(2 *z*)^{1/2}) and cosh^{-1}(1/*z*)
Involving sin^{-1}((*z*-1)^{1/2}/(2 *z*)^{1/2}) and cosh^{-1}(1/*z*)
Involving sin^{-1}((*a*-*z*)^{1/2}/(-2 *z*)^{1/2})
Involving sin^{-1}((-*z*-1)^{1/2}/(-2 *z*)^{1/2}) and cosh^{-1}(1/*z*)
Involving sin^{-1}((1-*z*)^{1/2}/(-2*z*)^{1/2}) and cosh^{-1}(1/*z*)
Involving sin^{-1}(*z*+*a*/2 *z*^{1/2})
Involving sin^{-1}(*z*+1/2 *z*^{1/2}) and cosh^{-1}(1/*z*)
Involving sin^{-1}(*z*-1/2 *z*^{1/2}) and cosh^{-1}(1/*z*)
Involving sin^{-1}((*c* *z*^{2}+1)^{1/2})
Involving sin^{-1}((*z*^{2}+1)^{1/2}) and cosh^{-1}(1+2 *z*^{2})
Involving sin^{-1}((*z*^{2}+1)^{1/2}) and cosh^{-1}((*z*^{2}+1)^{1/2})
Involving sin^{-1}((1-*z*^{2})^{1/2}) and cosh^{-1}(*z*)
Involving sin^{-1}((*z*^{2}+*a*)^{1/2}/*z*)
Involving sin^{-1}((*z*^{2}-1)^{1/2}/*z*) and cosh^{-1}(1/*z*)
Involving sin^{-1}((*z*^{2}+1)^{1/2}/*z*) and cosh^{-1}(1+2 *z*^{-2})
Involving sin^{-1}((*z*^{2}+1)^{1/2}/*z*) and cosh^{-1}((1+1/*z*^{2})^{1/2})
Involving sin^{-1}((*z*^{2}-1)^{1/2}/(*z*_{2})^{1/2})
Involving sin^{-1}((*z*^{2}-1)^{1/2}/(*z*_{2})^{1/2}) and cosh^{-1}(1/*z*)
Involving sin^{-1}((*a*-*z*^{2})^{1/2}/(-*z*^{2})^{1/2})
Involving sin^{-1}((1-*z*^{2})^{1/2}/(-*z*^{2})^{1/2}) and cosh^{-1}(1/*z*)
Involving sin^{-1}((-1-*z*^{2})^{1/2}/(-*z*^{2})^{1/2}) and cosh^{-1}(*z*^{2}+2/*z*^{2})
Involving sin^{-1}((-1-*z*^{2})^{1/2}/(-*z*^{2})^{1/2}) and cosh^{-1}((1+1/*z*^{2})^{1/2})
Involving sin^{-1}(*z*^{2}+*c*/*z*^{2}^{1/2})
Involving sin^{-1}(*z*^{2}-1/*z*^{2}^{1/2}) and cosh^{-1}(1/*z*)
Involving sin^{-1}(*z*^{2}+1/*z*^{2}^{1/2}) and cosh^{-1}(1+2 *z*^{-2})
Involving sin^{-1}(*z*^{2}+1/*z*^{2}^{1/2}) and cosh^{-1}((*z*^{-2}+1)^{1/2})
Involving sin^{-1}(2 *z* (1-*z*^{2})^{1/2})
Involving sin^{-1}(2 *z* (1-*z*^{2})^{1/2}) and cosh^{-1}(*z*)
Involving sin^{-1}(2 (-1+*z*^{2})^{1/2}/*z*^{2})
Involving sin^{-1}(2 (*z*^{2}-1)^{1/2}/*z*^{2}) and cosh^{-1}(1/*z*)
Involving sin^{-1}(((1-(1+*c* *z*^{2})^{1/2})/2)^{1/2})
Involving sin^{-1}(((1-(1+*z*^{2})^{1/2})/2)^{1/2}) and cosh^{-1}(*i* *z*)
Involving sin^{-1}(((1-(1-*z*^{2})^{1/2})/2)^{1/2}) and cosh^{-1}(*z*)
Involving sin^{-1}(*z* (1-(1-*z*^{2})^{1/2})^{1/2}/(2*z*^{2})^{1/2})
Involving sin^{-1}(*z* (1-(1-*z*^{2})^{1/2})^{1/2}/(2*z*^{2})^{1/2}) and cosh^{-1}(*z*)
Involving sin^{-1}(*z* ((1-(1-*z*^{2})^{1/2})/(2*z*^{2}))^{1/2})
Involving sin^{-1}(*z* ((1-(1-*z*^{2})^{1/2})/(2*z*^{2}))^{1/2}) and cosh^{-1}(*z*)
Involving sin^{-1}((*z*-(*z*^{2}-1)^{1/2})^{1/2}/(2*z*)^{1/2})
Involving sin^{-1}((*z*-(*z*^{2}-1)^{1/2})^{1/2}/(2*z*)^{1/2}) and cosh^{-1}(1/*z*)
Involving sin^{-1}(((*z*-(*z*^{2}-1)^{1/2})/(2*z*))^{1/2})
Involving sin^{-1}(((*z*-(*z*^{2}-1)^{1/2})/(2*z*))^{1/2}) and cosh^{-1}(1/*z*)
Involving tanh^{-1}
Involving sin^{-1}(*z*)
Involving sin^{-1}(*z*) and tanh^{-1}((*z*^{2}-1)^{1/2}/*z*)
Involving sin^{-1}(*z*) and tanh^{-1}((*z*^{2}-1)^{1/2}/(*z*_{2})^{1/2})
Involving sin^{-1}(*z*) and tanh^{-1}((1-*z*^{2})^{1/2}/(-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and tanh^{-1}(*z*^{2}-1/*z*^{2}^{1/2})
Involving sin^{-1}(*z*) and tanh^{-1}(*z*/(*z*^{2}-1)^{1/2})
Involving sin^{-1}(*z*) and tanh^{-1}((*z*_{2})^{1/2}/(*z*^{2}-1)^{1/2})
Involving sin^{-1}(*z*) and tanh^{-1}((-*z*^{2})^{1/2}/(1-*z*^{2})^{1/2})
Involving sin^{-1}(*z*) and tanh^{-1}(*z*^{2}/*z*^{2}-1^{1/2})
Involving sin^{-1}(*z*) and tanh^{-1}(2 *z* (*z*^{2}-1)^{1/2}/1-2 *z*^{2})
Involving sin^{-1}(*z*) and tanh^{-1}(1-2*z*^{2}/2 *z* (*z*^{2}-1)^{1/2})
Involving sin^{-1}(*z*) and tanh^{-1}((*z*-1)^{1/2}/(*z*+1)^{1/2})
Involving sin^{-1}(*z*) and tanh^{-1}((1-*z*)^{1/2}/(-1-*z*)^{1/2})
Involving sin^{-1}(*z*) and tanh^{-1}(*z*-1/*z*+1^{1/2})
Involving sin^{-1}(*z*) and tanh^{-1}((*z*+1)^{1/2}/(*z*-1)^{1/2})
Involving sin^{-1}(*z*) and tanh^{-1}((-1-*z*)^{1/2}/(1-*z*)^{1/2})
Involving sin^{-1}(*z*) and tanh^{-1}(*z*+1/*z*-1^{1/2})
Involving sin^{-1}(2 *z*/*z*^{2}+1)
Involving sin^{-1}(2 *z*/*z*^{2}+1) and tanh^{-1}(*i* *z*)
Involving sin^{-1}(2 *z*/*z*^{2}+1) and tanh^{-1}(*i*/*z*)
Involving sin^{-1}(2 *z*/*z*^{2}+1) and tanh^{-1}(*i* *z*^{r})
Involving sin^{-1}(1-*z*/1+*z*)
Involving sin^{-1}(1-*z*/1+*z*) and tanh^{-1}((-*z*)^{1/2})
Involving sin^{-1}(1-*z*/1+*z*) and tanh^{-1}(1/(-*z*)^{1/2})
Involving sin^{-1}(1-*z*/1+*z*) and tanh^{-1}((-1/*z*)^{1/2})
Involving sin^{-1}(*z*-1/*z*+1)
Involving sin^{-1}(*z*-1/*z*+1) and tanh^{-1}((-*z*)^{1/2})
Involving sin^{-1}(*z*-1/*z*+1) and tanh^{-1}(1/(-*z*)^{1/2})
Involving sin^{-1}(*z*-1/*z*+1) and tanh^{-1}((-1/*z*)^{1/2})
Involving sin^{-1}(1+*z*/1-*z*)
Involving sin^{-1}(1+*z*/1-*z*) and tanh^{-1}(*z*^{1/2})
Involving sin^{-1}(1+*z*/1-*z*) and tanh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1+*z*/1-*z*) and tanh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*+1/*z*-1)
Involving sin^{-1}(*z*+1/*z*-1) and tanh^{-1}(*z*^{1/2})
Involving sin^{-1}(*z*+1/*z*-1) and tanh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*+1/*z*-1) and tanh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1+*z*^{2}/1-*z*^{2})
Involving sin^{-1}(1+*z*^{2}/1-*z*^{2}) and tanh^{-1}(*z*)
Involving sin^{-1}(1+*z*^{2}/1-*z*^{2}) and tanh^{-1}(1/*z*)
Involving sin^{-1}(*z*^{2}+1/*z*^{2}-1)
Involving sin^{-1}(*z*^{2}+1/*z*^{2}-1) and tanh^{-1}(*z*)
Involving sin^{-1}(*z*^{2}+1/*z*^{2}-1) and tanh^{-1}(1/*z*)
Involving sin^{-1}(1/(1-*z*)^{1/2})
Involving sin^{-1}(1/(1-*z*)^{1/2}) and tanh^{-1}(*z*^{1/2})
Involving sin^{-1}(1/(1-*z*)^{1/2}) and tanh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/(1-*z*)^{1/2}) and tanh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/1-*z*^{1/2})
Involving sin^{-1}(1/1-*z*^{1/2}) and tanh^{-1}(*z*^{1/2})
Involving sin^{-1}(1/1-*z*^{1/2}) and tanh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/1-*z*^{1/2}) and tanh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*^{1/2}/(*z*-*a*)^{1/2})
Involving sin^{-1}(*z*^{1/2}/(*z*-*a*)^{1/2}) and tanh^{-1}(*z*/*a*^{1/2})
Involving sin^{-1}(*z*^{1/2}/(*z*-1)^{1/2}) and tanh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*^{1/2}/(*z*-1)^{1/2}) and tanh^{-1}(1/*z*^{1/2})
Involving sin^{-1}((-*z*)^{1/2}/(1-*z*)^{1/2})
Involving sin^{-1}((-*z*)^{1/2}/(1-*z*)^{1/2}) and tanh^{-1}(*z*^{1/2})
Involving sin^{-1}((-*z*)^{1/2}/(1-*z*)^{1/2}) and tanh^{-1}(1/*z*^{1/2})
Involving sin^{-1}((-*z*)^{1/2}/(1-*z*)^{1/2}) and tanh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*/*z*-*a*^{1/2})
Involving sin^{-1}(*z*/*z*-1^{1/2}) and tanh^{-1}(*z*^{1/2})
Involving sin^{-1}(*z*/*z*-*a*^{1/2}) and tanh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(*z*/*z*-1^{1/2}) and tanh^{-1}(1/*z*^{1/2})
Involving sin^{-1}(1/(1-*z*^{2})^{1/2})
Involving sin^{-1}(1/(1-*z*^{2})^{1/2}) and tanh^{-1}(*z*)
Involving sin^{-1}(1/(1-*z*^{2})^{1/2}) and tanh^{-1}(1/*z*)
Involving sin^{-1}(1/1-*z*^{2}^{1/2})
Involving sin^{-1}(1/1-*z*^{2}^{1/2}) and tanh^{-1}(*z*)
Involving sin^{-1}(1/1-*z*^{2}^{1/2}) and tanh^{-1}(1/*z*)
Involving sin^{-1}(*z*/(*z*^{2}-1)^{1/2})
Involving sin^{-1}(*z*/(*z*^{2}-1)^{1/2}) and tanh^{-1}(*z*)
Involving sin^{-1}(*z*/(*z*^{2}-1)^{1/2}) and tanh^{-1}(1/*z*)
Involving sin^{-1}((*z*_{2})^{1/2}/(*z*^{2}-1)^{1/2})
Involving sin^{-1}((*z*_{2})^{1/2}/(*z*^{2}-1)^{1/2}) and tanh^{-1}(*z*)
Involving sin^{-1}((*z*_{2})^{1/2}/(*z*^{2}-1)^{1/2}) and tanh^{-1}(1/*z*)
Involving sin^{-1}((-*z*^{2})^{1/2}/(1-*z*^{2})^{1/2})
Involving sin^{-1}((-*z*^{2})^{1/2}/(1-*z*^{2})^{1/2}) and tanh^{-1}(*z*)
Involving sin^{-1}((-*z*^{2})^{1/2}/(1-*z*^{2})^{1/2}) and tanh^{-1}(1/*z*)
Involving sin^{-1}(*z*^{2}/*z*^{2}-1^{1/2})
Involving sin^{-1}(*z*^{2}/*z*^{2}-1^{1/2}) and tanh^{-1}(*z*)
Involving sin^{-1}(*z*^{2}/*z*^{2}-1^{1/2}) and tanh^{-1}(1/*z*) |