SOLUTION: cos^2x=cscxcosx/tanx+cot can you please prove this

Algebra ->  Equations -> SOLUTION: cos^2x=cscxcosx/tanx+cot can you please prove this      Log On


   

Question 1207012: cos^2x=cscxcosx/tanx+cot can you please prove this
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
cos%5E2%28x%29=%28csc%28x%29cos%28x%29%29%2F%28tan%28x%29%2Bcot%28x%29%29

manipulate right side
%28csc%28x%29cos%28x%29%29%2F%28tan%28x%29%2Bcot%28x%29%29.....use identities: csc%28x%29=1%2Fsin%28x%29, tan%28x%29=sin%28x%29%2Fcos%28x%29, cot%28x%29=cos%28x%29%2Fsin%28x%29

=

=....use identity sin%5E2%28x%29%2Bcos%5E2%28x%29=1

=%28cos%28x%29%2Fsin%28x%29%29%2F%281%2F%28sin%28x%29%2Acos%28x%29%29%29...simplify

=

=%28cos%28x%29%2F1%29%2F%281%2F%281%2Acos%28x%29%29%29

=cos%28x%29%2Acos%28x%29

=cos%5E2%28x%29=> proven