Question

Haven't been able to get this one please help!

Simplify the expression
cos^2 x
--------
1 + sin x

A) 1 - sin x
B) tan^2 x
C) sec^2 x
D) 1
E) 1 + cos x

Answer 1

\[\frac{cos^2(x)}{1+sin(x)}=\frac{1-sin^2(x)}{1+sin(x)}=\frac{(1-sin(x))(1+sin(x))}{1+sin(x)}\]

Answer 2

\[=1-sin(x)\]