Is Pythagoras Identities sufficient?

Geometry Level 1

4sin2(x)+tan2(x)+cot2(x)+csc2(x)=6 \large 4\sin^2 (x) + \tan^2(x) + \cot^2(x) + \csc^2(x) = 6

Find the number of solutions of xx in the interval [0,2π][0,2\pi] that satisfy the equation above.

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