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Trigonometry: Triangles to Functions

Review question

When is $\sin^8 x+\cos^6 x$ equal to $1$?
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Ref: R9817

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Question

In the range \(0\le x < 2\pi\) the equation \[\sin^8 x + \cos^6 x = 1\] has

\(3\) solutions,
\(4\) solutions,
\(6\) solutions,
\(8\) solutions.