Simplify sin^2b/1+cosb=?

Question

2577 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-05T10:55:31

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

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)#

Answer 2 · 2018-04-05T10:58:29

#1-cosb#

#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#