Which expression is equivalent to sin^2β/1+cosβ for all values of β for which sin^2β/1+cosβ is defined?

Question

select the correct answer below:

cot^2β

cosβ

secβ

tanβ

1−cosβ

Answer 1

Answer: 1 − cos β

sin² β ⁄ (1 + cos β)

= (1 − cos² β) ⁄ (1 + cos β) (Pythagorean Identity)

= (1 − cos β)(1 + cos β) ⁄ (1 + cos β) (Factoring)

= 1 − cos β