SOLUTION: How do I prove that 1-2cos^2x = sinxcosx(tanx-cotx) What do I do to the right side? I know that I should right tanx a sinx/cosx and cotx as 1/(sinx/cosx), but I don't know

Algebra ->  Expressions-with-variables -> SOLUTION: How do I prove that 1-2cos^2x = sinxcosx(tanx-cotx) What do I do to the right side? I know that I should right tanx a sinx/cosx and cotx as 1/(sinx/cosx), but I don't know      Log On


   

Question 919191: How do I prove that
1-2cos^2x = sinxcosx(tanx-cotx)
What do I do to the right side?
I know that I should right tanx a sinx/cosx and cotx as 1/(sinx/cosx), but I don't know what to do with that.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
sinxcosx(tanx-cotx)
sin%28x%29cos%28x%29%28%28tan%5E2%28x%29+-+1%29%2Ftan%28x%29+%29%29
( cosx/sinx)(sinxcosx)(tan^2x - 1)
cos^2 (tan^2x - 1)
sin^2 - cos^2
(1 - cosx^2) - cosx^2
1 - 2cosx^2