SOLUTION: Find the exact value for the trig expression: csc[tan^-1(A/5)]

Algebra ->  Trigonometry-basics -> SOLUTION: Find the exact value for the trig expression: csc[tan^-1(A/5)]      Log On


   

Question 1036997: Find the exact value for the trig expression:
csc[tan^-1(A/5)]
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the exact value for the trig expression:
csc[tan^-1(A/5)]
----------
tan = y/x = A/5
r = sqrt(x^2 + y^2) = sqrt(A^2 + 25)
---
sin = y/r
csc = 1/sin = r/y
csc[tan^-1(A/5)] = sqrt(A^2 + 25)/A