# Trigonometry! #109

Geometry Level 3

In $$\Delta ABC$$, $$\angle A>\angle B$$. If the measures of angles $$A$$ and $$B$$ satisfy the equation $3\sin x - 4\sin^{3}x-k=0$ for $$0<k<1$$, then find the measure of $$\angle C$$.

Express your answer in the form of $$\left(\frac{p\pi}{q}\right)^{C}$$ where $$p$$ and $$q$$ are coprime integers. Enter the value of $$pq$$.

This problem is part of the set Trigonometry.

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