SOLUTION: If inverse Tangent 3/5 = theta, what is the inverse csc(cotan theta) ?

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Question 669578: If inverse Tangent 3/5 = theta, what is the inverse csc(cotan theta) ?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
arctan%283%2F5%29=+theta <---> tan%28theta%29=3%2F5 (and -pi%2F2%3Ctheta%3Cpi%2F2)
(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).
cot%28theta%29=1%2Ftan%28theta%29=5%2F3
Since 5%2F3 is positive, arccsc%285%2F3%29 will be the angle A,
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
A=abouthighlight%280.6435%29=about36.9%5Eo