SOLUTION: Simplify the trigonometric expression. sin^2 theta/1-cos theta A. 1 + cos θ B. sin θ C.1 -sin theta/cos theta D. 1+sin theta/cos theta

Algebra ->  Rational-functions -> SOLUTION: Simplify the trigonometric expression. sin^2 theta/1-cos theta A. 1 + cos θ B. sin θ C.1 -sin theta/cos theta D. 1+sin theta/cos theta       Log On


   

Question 1066259: Simplify the trigonometric expression.

sin^2 theta/1-cos theta
A.
1 + cos θ
B.
sin θ
C.1 -sin theta/cos theta
D. 1+sin theta/cos theta


Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
A.
sin^2 theta=(1-cos^2 theta)
This is a difference of squares and may be factored into (1+cos theta)(1-cos theta)
(1+cos theta)(1-cos theta)/1-cos theta=1+cos theta, because the (1- cos theta) cancel each other, so long as theta is not pi.