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