SOLUTION: Prove the identity. sinx tanx ---- = -------- sinx+cosx 1 + tanx

Algebra ->  Trigonometry-basics -> SOLUTION: Prove the identity. sinx tanx ---- = -------- sinx+cosx 1 + tanx      Log On


   

Question 95716: Prove the identity.

sinx tanx
---- = --------
sinx+cosx 1 + tanx
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
sinx%2F%28sinx%2Bcosx%29=tanx%2F%281%2Btanx%29
Lets work on the right side:
tan=(sin/cos)
%28sinx%2Fcosx%29%2F%281%2B%28sinx%2Fcosx%29%29
LCD for bottom fraction%28sinx%2Fcosx%29%2F%28%28cosx%2Bsinx%29%2Fcosx%29%29
invert bottom fraction and multiply%28sinx%2Fcosx%29%2A%28cosx%2F%28sinx%2Bcosx%29%29=sinx%2F%28sinx%2Bcosx%29
EdJones