Question

How do you simplify `5sin2theta-cot2theta+cos2theta` to trigonometric functions of a unit `theta`?

Answer 1

Simplify

Explanation:

5sin 2t = 10sin t.cos t
`cot 2t = 1/(tan 2t) = (1 - tan^2 t)/(2tan t)`
`cos 2t = 2cos^2 t - 1`

Sum `= 10sin t.cos t - (1 - tan^2 t)/(2tan t) + 2cos^2 t - 1`