Question

How do you simplify `f(theta)=cot4theta-sin8theta-2tan2theta` to trigonometric functions of a unit `theta`?

Answer 1

See below

Explanation:

`f(theta) = cot4theta - sin8theta - 2tan2theta -= (cos4theta)/(sin4theta) - 2sin4thetacos4theta - (4tantheta)/(1-tan^2theta)`

Exercise:

Finish writing `f(theta)` in terms of a unit `theta` using the expansions of `sin4theta` and `cos4theta` given here: https://socratic.org/questions/how-do-you-simplify-f-theta-sec4theta-tan4theta-to-trigonometric-functions-of-a-#463667