JEE PYQ: Trigonometric Equations And Inequations Question 11
Question 11 - 2019 (09 Apr Shift 1)
Let $S = {\theta \in [-2\pi, 2\pi] : 2\cos^2 \theta + 3 \sin \theta = 0}$. Then the sum of the elements of $S$ is:
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(1) $\frac{13\pi}{6}$
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(2) $\frac{5\pi}{3}$
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(3) $2\pi$
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(4) $\pi$
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Answer:
Solution
$\sin\theta = -\frac{1}{2}$
Sum of all solutions in $[-2\pi, 2\pi]$ is $2\pi$.