JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

1 + \sin \,\,x + {\sin ^2}\,\,x + {\sin ^3}\,\,x + \ldots + \ldots \infty

is equal to

4 + 2\sqrt 3 ,\,\;0 < x < \pi

, then

x =

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 solutions to the trigonometric equation derived from the infinite geometric series.

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