JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

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Analyzing +4 | -1

\sin \,3\;\theta = 4\,\sin \theta \;\,\left( {{{\sin }^2}x - {{\sin }^2}\theta } \right),\,\,\theta \ne n\;\pi ,\,\,n \in Z

. Then, the set of values of

x

View answer and explanation

Correct option: A

\left\{ {n\;\pi \,\, \pm \,\,\frac{\pi }{3}\;:n \in Z} \right\}

Option A (

\{ {n\\;\pi \\,\pm \\,\frac{\pi }{{3}}}\\;:n \in Z} \}

) is correct because it is derived by simplifying the given trigonometric equation and solving for x.

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