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Trigonometry! #58

Geometry Level 4

\[3^{\sin 2x + 2\cos^{2} x}+3^{1-\sin 2x+2\sin^{2}x}=28\]

Find the number of solutions to the above equation if \( 0 \leq x \leq 2\pi\).

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by Omkar Kulkarni

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