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JEE PYQ: Trigonometric Equations And Inequations Question 16

Question 16 - 2019 (09 Jan Shift 2)

If $0 \le x < \frac{\pi}{2}$, then the number of values of $x$ for which $\sin x - \sin 2x + \sin 3x = 0$, is:

  • (1) 3

  • (2) 1

  • (3) 4

  • (4) 2

Show Answer

Answer:

Solution

$\sin x \cos x(2\cos x - 1) = 0$

$x = 0, \frac{\pi}{3}$ in $\left[0, \frac{\pi}{2}\right)$. Number of values $= 2$.


Learning Progress: Step 16 of 19 in this series