Simplify sin^2b/1+cosb=?

2 Answers
Apr 5, 2018

sin^2(b)/(1+cos(b))=1-cos(b)

Explanation:

We want to simplify

sin^2(b)/(1+cos(b))

Use the pythagorean identity color(blue)(cos^2(x)+sin^2(x)=1

(1-cos^2(b))/(1+cos(b))

Factor the numerator

((1-cos(b))cancel((1+cos(b))))/cancel((1+cos(b)))=1-cos(x)

Apr 5, 2018

1-cosb

Explanation:

sin^2b/(1+cosb)

(1-cos^2b)/(1+cosb)

Difference of 2 squares on top

((1-cosb)(1+cosb))/(1+cosb)

Crosses off

1-cosb