Question

Simplify the trigonometric expression. (will medal)

Answer 1

\[ \frac{ \sin^2\theta}{ 1+\cos \theta}\]

Answer 2

sin^2(theta) can be written as 1-cos^2(theta)
and guess what that can be factored

Answer 3

Use the identity below (solved for \(\sin^2 \theta\))

\(\sin^2 \theta + \cos^2 \theta = 1\)

and do a substitution in the numerator. Then factor the numerator and reduce.

Answer 4

Im still really confused

Answer 5

=(1-cosθ^2)/(1+cosθ)

Answer 6

=(1-cosθ)(1+cosθ)/(1+cosθ) then we simplfy
we know that a^2 - b^2=(a-b)(a+b) @Madgirlwithabluebox

Answer 7

so we get after simplifying the result =(1-cosθ) did u understand @Madgirlwithabluebox

Answer 8

Uh no? I get that since there was (1+cosθ)/(1+cosθ) you simplified and got the answer but i dont understand anything else

Answer 9

so? You understood it or no now ?

Answer 10

I think ,

Answer 11

does this make sense:
assuming y not -1
simplifying (1-y^2)/(1+y)
\[\frac{1-y^2}{1+y}=\frac{(1-y)(1+y)}{1+y}=\frac{\cancel{(1+y)}(1-y)}{\cancel{1+y}}=1-y\]