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Geometry Level 2

\[\large \frac1{\cos^2(a)} + \frac1{1+\sin^2(a)} + \frac2{1+\sin^4(a) } +\frac4{1+\sin^8(a)} \]

If \( \sin^{16} (a) = \frac15\), evaluate the expression above.

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by M Rafi Adyatma

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