Trigonometry

Geometry Level 3

The number of solutions to the equation cos4x+1cos2x=sin4x+1sin2xcos^{4}x+\frac{1}{cos^{2}x}=sin^{4}x+\frac{1}{sin^{2}x} in the interval [0,2π] is

Note:This question is a part of set KVPY 2014 SB

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