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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