SOLUTION: cos^2theta - sin^2theta ----------- ----------- --------divided by Cos^2theta + sin theta(cos theta) I am asked to show how this equals to 1 - tan theta

Algebra ->  Trigonometry-basics -> SOLUTION: cos^2theta - sin^2theta ----------- ----------- --------divided by Cos^2theta + sin theta(cos theta) I am asked to show how this equals to 1 - tan theta       Log On


   

Question 671653: cos^2theta - sin^2theta
--------------------------------divided by
Cos^2theta + sin theta(cos theta)
I am asked to show how this equals to 1 - tan theta
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(cos^2(a)-Sin^2(a))/(cos^2a+sina.cosa))

((cosa+sina)(cosa-sina))/(cosa(cosa-sina)
(cosa-sina)/cosa
(cosa/cosa)-(sina/cos))
1-tana