# Problem #8

Geometry Level 3

If $$x$$ is a real number such that $$cos x+sin x=\frac {1}{\sqrt3}$$, find $$(sin 4x)^{2}$$.

The answer can be written as $$\frac {m}{n}$$ where $$m, n$$ are coprime positive integers. Find $$n-m$$

You may wish to research on Trigonometric Identities.

This problem is part of the set Easy Problems

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