Question

simplify the expression
sin^2theta/1+cos theta

a. cos theta
b.1+cos theta
c.1-cos theta
d.1-costheta/cos theta

i think the answer is b

Answer 1

sin^{2} θ =1−cos^ {2} θ=(1+cosθ)(1−cosθ)

Answer 2

so c must be true

Answer 3

\(\Large \frac{sin^{2}\theta}{1-cos\theta} = \frac{1-cos^{2}\theta}{1+cos\theta} = \frac{(1-cos\theta)(1+cos\theta)}{1+cos\theta} = 1-cos\theta \)
Thus, answer is \(C\)