SOLUTION: I need help with the next steps of proving this equation: (3-3cos(x))(1+cos(x))= 3sin^2(x). I have factored it out to be: -3cos^2(x) + 3= 3sin^2(x)...but I dont know if it is co

Algebra ->  Trigonometry-basics -> SOLUTION: I need help with the next steps of proving this equation: (3-3cos(x))(1+cos(x))= 3sin^2(x). I have factored it out to be: -3cos^2(x) + 3= 3sin^2(x)...but I dont know if it is co      Log On


   

Question 423734: I need help with the next steps of proving this equation: (3-3cos(x))(1+cos(x))= 3sin^2(x).
I have factored it out to be: -3cos^2(x) + 3= 3sin^2(x)...but I dont know if it is correct. Please help me :) Thank you!
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
(3-3cos(x))(1+cos(x))= 3sin^2(x).
..
starting with left side.
3(1-cosx)(1+cos)
convert to difference of squares.
=3(1-cos^2x)
=3sin^2x
verified: left side=right side