Question

help!
verify the identity:

(sec(theta) + tan(theta)) (1 - sin(theta)) = cos(theta)

Answer 1

you can distribute

Answer 2

LHS
= (sec + tan) (1 - sin)
= (1/cos + sin/cos)(1-sin)
= 1/cos + sin/cos - sin/cos - sin^2/cos
=
=

Answer 3

simplify, and then use sin^2+cos^2 = 1