# 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 $$\frac {1} {M}$$.

×