Question

How do you simplify `f(theta)=2tan2theta-3sin2theta+sec2theta` to trigonometric functions of a unit `theta`?

Answer 1

`f(theta)=(4tantheta)/(1-tan^2theta)-6sinthetacostheta+1/(2cos^2theta-1)`

Explanation:

`f(theta)=2tan2theta-3sin2theta+sectheta`

or `f(theta)=2xx(2tantheta)/(1-tan^2theta)-3xx2sinthetacostheta+1/(cos2theta)`

or `f(theta)=(4tantheta)/(1-tan^2theta)-6sinthetacostheta+1/(2cos^2theta-1)`