# Is Pythagoras Identities sufficient?

**Geometry**Level 2

\[ \large 4\sin^2 (x) + \tan^2(x) + \cot^2(x) + \csc^2(x) = 6 \]

Find the number of solutions of \(x\) in the interval \([0,2\pi]\) that satisfy the equation above.

\[ \large 4\sin^2 (x) + \tan^2(x) + \cot^2(x) + \csc^2(x) = 6 \]

Find the number of solutions of \(x\) in the interval \([0,2\pi]\) that satisfy the equation above.

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