Trigonometry! #84

Geometry Level 3

Simplify the following expression to a numerical value. 3(sin⁡4(3π2−α)+sin⁡4(3π+α))−2(sin⁡6(π2+α)+sin⁡6(5π−α))3\left(\sin^{4} \left(\frac{3\pi}{2} - \alpha \right) + \sin^{4}(3\pi+\alpha)\right) - 2 \left(\sin^{6} \left(\frac{\pi}{2} + \alpha \right) + \sin^{6}(5\pi-\alpha)\right)

This problem is part of the set Trigonometry.

Omkar Kulkarni by Omkar Kulkarni
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