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

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#### Explanation

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#### Explanation:

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1
Aug 14, 2017

See below

#### Explanation:

$f \left(\theta\right) = \cot 4 \theta - \sin 8 \theta - 2 \tan 2 \theta \equiv \frac{\cos 4 \theta}{\sin 4 \theta} - 2 \sin 4 \theta \cos 4 \theta - \frac{4 \tan \theta}{1 - {\tan}^{2} \theta}$

Exercise:

Finish writing $f \left(\theta\right)$ in terms of a unit $\theta$ using the expansions of $\sin 4 \theta$ and $\cos 4 \theta$ given here: https://socratic.org/questions/how-do-you-simplify-f-theta-sec4theta-tan4theta-to-trigonometric-functions-of-a-#463667

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