JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1

1+\sin x+\sin ^2 x+\sin ^3 x+\ldots \infty

is equal to

4+2 \sqrt{3}, 0 < x < \pi

, then

x

is equal to:

View answer and explanation

Correct option: D

\frac{\pi}{3}

\frac{2 \pi}{3}

Option D (

\frac{\pi}{3}

\frac{{2 \pi}}{3}

) is correct because these are the two possible values of x within the given range that satisfy the infinite geometric series equation.

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