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:
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(1) 3
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(2) 1
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(3) 4
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(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 $= 2$.