SOLUTION: I am having trouble proving the identity: cos^2(theta) =Cot^2/ 1+cot^2(theta) I thought of getting into csc^2 but not sure what to do with it.

Algebra ->  Trigonometry-basics -> SOLUTION: I am having trouble proving the identity: cos^2(theta) =Cot^2/ 1+cot^2(theta) I thought of getting into csc^2 but not sure what to do with it.      Log On


   



Question 644726: I am having trouble proving the identity:
cos^2(theta) =Cot^2/ 1+cot^2(theta)
I thought of getting into csc^2 but not sure what to do with it.

Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Use the identity: cotē θ + 1 = cscēθ
The right side becomes
(cscēθ - 1)/(cscēθ) = 1 - (1/cscēθ)
= 1 - sinēθ
= cosē θ