Mathematics · 2021
JEE Main · 27 August 2021, Shift 2 · Q89
Let S be the sum of all solutions (in radians) of the equation sin^4 θ+ cos^4 θ- sin θ cos θ=0 in [0,4 π]. Then (8 S)/(π) is equal to \ \ \ \.
Let S be the sum of all solutions (in radians) of the equation $\displaystyle \sin ^4 \theta+\cos ^4 \theta-\sin \theta \cos \theta=0$ in $\displaystyle [0,4 \pi]$. Then $\displaystyle \frac{8 \mathrm{~S}}{\pi}$ is equal to \_\_\_\_.
Official answer
56
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.