The math help thread

Hi I'm doing Trig.

Anyways, this problem says to simplify

(sec x) (cox x + sin x squared * sec x)

in terms of cos x.

I got 2 - cos x squared, but the book says

1 / cos x squared.

What do you guys get? =/

I find it easiest to change the sec x's to 1/cos x's. After that, just simplify by adding what's in the parenthesis (remember (sinx)^2 + (cosx)^2 = 1) and multiplying by the outer 1/cosx.

 Parenthesis overload

(1/cosx)*(cosx + ((sinx)^2)*(1/cosx))
= (1/cosx)*(((cosx)^2)/cosx) + (((sinx)^2)/cosx))
= (1/cosx)*(1/cosx)
= 1/((cosx)^2)