Question

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`

Answer 1

Hope this helps

Explanation:

`sec theta - tan theta sin theta =(1/(cos theta))-(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`