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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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The general solution of the equations: sin⁡θ=−32\sin \theta=-\frac{\sqrt{3}}{2} and tan⁡θ=3\tan \theta=\sqrt{3}
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Correct option: B
2nπ+4π32 n \pi+\frac{4 \pi}{3}
Option B (2nπ+4π32 n \pi+\frac{{4 \pi}}{{3}}) is the correct general solution because it satisfies both sin⁡θ=−32\sin \theta=-\frac{{\sqrt{{3}}}}{{2}} and tan⁡θ=3\tan \theta=\sqrt{{3}}.

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