Question

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

hint: \(\cos^2 x+\sin^2x =1\)

Answer 2

Which gives me
1 - sin^2x
-----------
1 + sinx

but i'm not sure where to go from there

Answer 3

good! notice that the top is a difference of two squares.

Answer 4

so we can factor the top :D.

Answer 5

which gives me

(1-sinx)(1+sinx)
--------------
1+ sinx

which = 1- sinx

Answer 6

So is the answer just A?

Answer 7

perfect! :D

Answer 8

Thanks!