JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1

\sin x \cdot \sin \left(60^{\circ}-x\right) \cdot \sin \left(60^{\circ}+x\right)=1 / 8

and

n \in \mathbb{Z}

, then:

View answer and explanation

Correct option: B

x=\frac{n \pi}{3}+(-1)^n \frac{\pi}{18}

Option B (

x=\frac{{n \pi}}{{3}}+(-1)^n \frac{{\pi}}{{18}}

) is correct because it is derived by using the trigonometric identity and solving the resulting sine equation.

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