html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 ArcSin

 http://functions.wolfram.com/01.12.16.0198.01

 Input Form

 a ArcSin[x] + b ArcCos[y] == I Pi (1 - (-1)^(Floor[-(Arg[(I y + Sqrt[1 - y^2])^(I b)/(I x + Sqrt[1 - x^2])^ (I a) + 1]/(2 Pi))] - Floor[-(Arg[(I y + Sqrt[1 - y^2])^(I b)/(I x + Sqrt[1 - x^2])^(I a)]/ (2 Pi))])) - I (-1)^(Floor[-(Arg[(I y + Sqrt[1 - y^2])^(I b)/(I x + Sqrt[1 - x^2])^ (I a)]/Pi)] + Floor[Arg[(I y + Sqrt[1 - y^2])^(I b)/(I x + Sqrt[1 - x^2])^(I a) - 1]/ (2 Pi) - Arg[(I y + Sqrt[1 - y^2])^(I b)/(I x + Sqrt[1 - x^2])^ (I a) + 1]/(2 Pi) + 1/2]) ArcCos[((1/2) (I x + Sqrt[1 - x^2])^(I a) ((I y + Sqrt[1 - y^2])^(2 I b)/(I x + Sqrt[1 - x^2])^(2 I a) + 1))/ (I y + Sqrt[1 - y^2])^(I b)] - 2 I Pi (Floor[(-Arg[(I x + Sqrt[1 - x^2])^((-I) a)] - Arg[(I y + Sqrt[1 - y^2])^(I b)] + Pi)/(2 Pi)] + Floor[(Re[a Log[I x + Sqrt[1 - x^2]]] + Pi)/(2 Pi)] + Floor[(Pi - Re[b Log[I y + Sqrt[1 - y^2]]])/(2 Pi)]) + (b Pi)/2

 Standard Form

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 MathML Form

 a sin - 1 ( x ) + b cos - 1 ( y ) π b 2 - ( - 1 ) arg ( ( x + 1 - x 2 ) - a ( y + 1 - y 2 ) b - 1 ) 2 π + 1 2 - arg ( ( y + 1 - y 2 ) b ( x + 1 - x 2 ) - a + 1 ) 2 π + - arg ( ( x + 1 - x 2 ) - a ( y + 1 - y 2 ) b ) π cos - 1 ( 1 2 ( x + 1 - x 2 ) a ( y + 1 - y 2 ) - b ( ( y + 1 - y 2 ) 2 b ( x + 1 - x 2 ) - 2 a + 1 ) ) - 2 π ( - arg ( ( x + 1 - x 2 ) - a ) - arg ( ( y + 1 - y 2 ) b ) + π 2 π + Re ( a log ( x + 1 - x 2 ) ) + π 2 π + π - Re ( b log ( y + 1 - y 2 ) ) 2 π ) + ( 1 - ( - 1 ) - arg ( ( y + 1 - y 2 ) b ( x + 1 - x 2 ) - a + 1 ) 2 π - - arg ( ( x + 1 - x 2 ) - a ( y + 1 - y 2 ) b ) 2 π ) π a x b y b 2 -1 -1 -1 x 1 -1 x 2 1 2 -1 a y 1 -1 y 2 1 2 b -1 2 -1 1 2 -1 y 1 -1 y 2 1 2 b x 1 -1 x 2 1 2 -1 a 1 2 -1 -1 x 1 -1 x 2 1 2 -1 a y 1 -1 y 2 1 2 b -1 1 2 x 1 -1 x 2 1 2 a y 1 -1 y 2 1 2 -1 b y 1 -1 y 2 1 2 2 b x 1 -1 x 2 1 2 -2 a 1 -1 2 -1 x 1 -1 x 2 1 2 -1 a -1 y 1 -1 y 2 1 2 b 2 -1 a x 1 -1 x 2 1 2 2 -1 -1 b y 1 -1 y 2 1 2 2 -1 1 -1 -1 -1 y 1 -1 y 2 1 2 b x 1 -1 x 2 1 2 -1 a 1 2 -1 -1 -1 x 1 -1 x 2 1 2 -1 a y 1 -1 y 2 1 2 b 2 -1 [/itex]

 Rule Form

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 Date Added to functions.wolfram.com (modification date)

 2007-05-02