SOLUTION: Stuck on this one. Will do my best to explain it. Find the exact value of csc (arctan 7/15).

Algebra ->  Trigonometry-basics -> SOLUTION: Stuck on this one. Will do my best to explain it. Find the exact value of csc (arctan 7/15).      Log On


   

Question 860795: Stuck on this one. Will do my best to explain it. Find the exact value of csc (arctan 7/15).
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
tan%28theta%29=7%2F15
which means
sin%28theta%29=7%2Fsqrt%287%5E2%2B15%5E2%29=7%2Fsqrt%28274%29
cos%28theta%29=15%2Fsqrt%28274%29
So then,
csc%28theta%29=1%2Fsin%28theta%29=sqrt%28274%29%2F7