## anonymous 5 years ago 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

1. watchmath

hint: $$\cos^2 x+\sin^2x =1$$

2. anonymous

Which gives me 1 - sin^2x ----------- 1 + sinx but i'm not sure where to go from there

3. watchmath

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

4. watchmath

so we can factor the top :D.

5. anonymous

which gives me (1-sinx)(1+sinx) -------------- 1+ sinx which = 1- sinx

6. anonymous

So is the answer just A?

7. watchmath

perfect! :D

8. anonymous

Thanks!