# This can't be pretty

Algebra Level 5

If the expression

$(\text{cis}(3))^{\cos^{-1}\left(\frac{3}{5}\right)}$

Can be represented as $$\dfrac{-a}{b}+\dfrac{c}{b}i$$ for positive coprime integers $$a,b,c$$, find $$a+b+c$$.

Details and assumptions:

It's up to you to decide whether the measurements are in degrees or radians :P

$$\text{cis}(\theta)=\cos(\theta)+i\sin(\theta)$$

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