Problem #8

Geometry Level 3

If xx is a real number such that cosx+sinx=13cos x+sin x=\frac {1}{\sqrt3}, find (sin4x)2(sin 4x)^{2}.

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

You may wish to research on Trigonometric Identities.

This problem is part of the set Easy Problems

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