# Write sec theta - tan theta sin theta in terms of sin theta and cos theta; then simplify if possible. (Leave your answer in terms of sin theta and/or cos theta)? See details for the problem

## $\sin \theta - \tan \theta \sin \theta$

Apr 3, 2018

Hope this helps

#### Explanation:

$\sec \theta - \tan \theta \sin \theta = \left(\frac{1}{\cos \theta}\right) - \frac{{\sin}^{2} \theta}{\cos \theta}$
But $1 - {\sin}^{2} \theta = {\cos}^{2} \theta$. Hence
= cos^\cancel(2) theta/(\cancel(cos theta)
$\sec \theta - \tan \theta \sin \theta = \cos \theta$