SOLUTION: Prove that sinx+tanx/1+secx=sinx

Algebra ->  Trigonometry-basics -> SOLUTION: Prove that sinx+tanx/1+secx=sinx      Log On


   



Question 957298: Prove that sinx+tanx/1+secx=sinx
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
%28sinx%2Btanx%29%2F%281%2Bsecx%29=sinx
tanx is the same as sinx%2Fcosx
%28sinx%2B%28sinx%2Fcosx%29%29%2F%281%2Bsecx%29
You can factor a sinx from sinx%2B%28sinx%2Fcosx%29
%28sinx%281%2B%281%2Fcosx%29%29%29%2F%281%2Bsecx%29=sinx
1%2Fcosx is the same as secx
%28sinx%281%2Bsecx%29%29%2F%281%2Bsecx%29
The %281%2Bsecx%29%2F%281%2Bsecx%29 cancel to 1.
sinx remains