Trigo Time

Geometry Level 3

\(\large S = sin^{4}(\frac{\pi}{16})+sin^{4}(\frac{3\pi}{16})+sin^{4}(\frac{5\pi}{16})+sin^{4}(\frac{7\pi}{16})\).

If \(S\) can be represented in the form \( \dfrac{a}{b}\) where \(a\) and \(b\) are co prime integers

Find \(a \times b\)

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