# Trigonometry! #58

**Geometry**Level 4

Find the number of solutions to the following equation lying in the interval \([0,2\pi]\). \[3^{\sin 2x + 2\cos^{2} x}+3^{1-\sin 2x+2\sin^{2}x}=28\]

This problem is part of the set Trigonometry.

Find the number of solutions to the following equation lying in the interval \([0,2\pi]\). \[3^{\sin 2x + 2\cos^{2} x}+3^{1-\sin 2x+2\sin^{2}x}=28\]

This problem is part of the set Trigonometry.

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