Let S be the sum of all solutions of sin⁴q + cos⁴q... | Trigonometric Equations | JEE Main

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Let $S$ be the sum of all solutions (in radians) of the equation $\sin ^4 q+\cos ^4 q-\sin q \cos q=0$ in $[0,4 \pi]$. Then $\frac{8 \mathrm{~S}}{\pi}$ is equal to $\_\_\_\_$ .

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