Compute the number of degrees in the smallest positive angle $x$ such that
\[8 \sin x \cos^5 x - 8 \sin^5 x \cos x = 1.\]
Question:
Compute the number of degrees in the smallest positive angle $x$ such that
\[8 \sin x \cos^5 x - 8 \sin^5 x \cos x = 1.\]
Answer:
Let's think step by step.

user
7.5^\circ
Compute the number of degrees in the smallest positive angle $x$ such that
\[8 \sin x \cos^5 x - 8 \sin^5 x \cos x = 1.\]
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