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$The number of solutions of the equation 1 + \sin^{4} x = \cos^{2} 3 x, x \in [- \frac{5 π}{2}, \frac{5 π}{2}] is$

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Correct option is B

The equation holds good if LHS=RHS=1sin4x=0, cos23x=1∴x=π, 2π, 0, −π, −2π

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The number of solutions of the equation 1+sin4x=cos23x,x∈-5π2,5π2 is

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$The number of solutions of the equation 1 + \sin^{4} x = \cos^{2} 3 x, x \in [- \frac{5 π}{2}, \frac{5 π}{2}] is$