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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
The general value of θ\theta satisfying the equation 2  sin⁡2  θ−3  sin⁡  θ−2=02\,\,{\sin ^2}\,\,\theta - 3\,\,\sin \,\,\theta - 2 = 0 is
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Correct option: A
nπ+(−1)n+1  π6n\pi + {\left( { - 1} \right)^{n + 1}}\,\,\frac{\pi }{6}
Option A (nπ+(−1)n+1 π6n\pi + {\left( { - 1} \right)^{n + 1}}\,\frac{\pi }{6}) is correct because it represents the general solution to the trigonometric equation 2sin⁡2 θ−3 sin⁡ θ−2=02{\sin ^2}\,\theta - 3\,\sin \,\theta - 2 = 0.

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