SOLUTION: Verify the identity: {{{(1 - cos x) / (1 + cos x) = (cot x - csc x)^2}}}

Algebra ->  Trigonometry-basics -> SOLUTION: Verify the identity: {{{(1 - cos x) / (1 + cos x) = (cot x - csc x)^2}}}      Log On


   

Question 929066: Verify the identity:
%281+-+cos+x%29+%2F+%281+%2B+cos++x%29+=+%28cot+x+-+csc+x%29%5E2
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Verify the identity:
%281+-+cos+x%29+%2F+%281+%2B+cos++x%29+=+%28cot+x+-+csc+x%29%5E2
Start with right side:

(1-cosx)^2/(1+cosx)(1-cosx)=(1-cosx)/(1+cosx)
verified: right side=left side
note:(cosx-1)^2=(1-cosx)^2