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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:

  • (1) $\frac{13\pi}{6}$

  • (2) $\frac{5\pi}{3}$

  • (3) $2\pi$

  • (4) $\pi$

Show Answer

Answer:

Solution

$\sin\theta = -\frac{1}{2}$

Sum of all solutions in $[-2\pi, 2\pi]$ is $2\pi$.


Learning Progress: Step 11 of 19 in this series