JEE - Trigonometry With k

Geometry Level 2

If \(f_k(\theta)=\frac{1}{k}(\sin^k\theta + \cos^k\theta)\), \(f_4(\theta) - f_6(\theta) = M\), where \(M\) is a rational number. Find the value of \(\frac {1} {M}\).

This Problem appeared in the JEE Mains Examination this year.
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