Trigonometry - 2

Geometry Level 3

What is the value of

(1+sinπ8)(1+sin5π8)(1+sin9π8)(1+sin13π8)?\left(1+\sin\frac{\pi}{8}\right)\left(1+\sin\frac{5\pi}{8}\right)\left(1+\sin\frac{9\pi}{8}\right)\left(1+\sin\frac{13\pi}{8}\right)?

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