document.write( "Question 669578: If inverse Tangent 3/5 = theta, what is the inverse csc(cotan theta) ? \n" ); document.write( "

Algebra.Com's Answer #416495 by KMST(5328) $\"\"$ $\"About$

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$\"arctan%283%2F5%29=+theta\"$ <---> $\"tan%28theta%29=3%2F5\"$ (and $\"-pi%2F2%3Ctheta%3Cpi%2F2\"$ )
\n" ); document.write( "(With $\"tan%28theta%29=3%2F5\"$ , we really know that $\"0%3Ctheta%3Cpi%2F2\"$ , because only positive angles between $\"0\"$ and $\"pi%2F2\"$ could have a positive tangent of $\"3%2F5\"$ ).
\n" ); document.write( " $\"cot%28theta%29=1%2Ftan%28theta%29=5%2F3\"$
\n" ); document.write( "Since $\"5%2F3\"$ is positive, $\"arccsc%285%2F3%29\"$ will be the angle $\"A\"$ ,
\n" ); document.write( "in the first quadrant ( $\"0%3CA%3C=pi%2F2\"$ ) such that $\"csc%28A%29=1%2Fsin%28A%29%0D%0A=5%2F3\"$ <---> $\"sin%28A%29=3%2F5\"$
\n" ); document.write( " $\"A\"$ =about $\"highlight%280.6435%29\"$ =about $\"36.9%5Eo\"$ \r
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