SOLUTION: Verify the following trigonometric identity: csc^2 x cos^2 x = csc^2 x - 1

Algebra ->  Trigonometry-basics -> SOLUTION: Verify the following trigonometric identity: csc^2 x cos^2 x = csc^2 x - 1      Log On


   

Question 1205945: Verify the following trigonometric identity:
csc^2 x cos^2 x = csc^2 x - 1
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2Fsin%28x%29%29%5E2%28cos%28x%29%29%5E2---------the lefthand side using definition cosecant
%281%2Fsin%28x%29%29%5E2%281-sin%5E2%28x%29%29
%281%2Fsin%28x%29%29%5E2-%281%2Fsin%28x%29%29%5E2%2Asin%5E2%28x%29
%281%2Fsin%28x%29%29%5E2-1
csc%5E2%28x%29-1-----------the righthand side