JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Medium

1 of 1

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 A (

\mathrm{a}=\sqrt{{2}} \mathrm{c}

) is correct because equating the perpendicular distance from the center of the circle to the tangent and the y-intercept of the tangent to the parabola gives this relationship.

More Questions from TRIGONOMETRY RATIOS

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\tan \alpha=\frac{p}{q}

, where

\alpha=6 \beta

and

\alpha

being an acute angle, then

\frac{1}{2}[p \operatorname{cosec} 2 \beta-q \sec 2 \beta]

is equal to The value of

\cos 12^{\circ}+\cos 84^{\circ}+\cos 156^{\circ}+\cos 132^{\circ}

is If the

\triangle A B C

is acute angled at

C

, then The value of the expression

{\sin ^6}\,\,\theta + {\cos ^6}\,\,\theta + 3{\sin ^2}\,\,\theta \,\,{\cos ^2}\,\,\theta

equals

\sin ^2 \frac{A}{2}+\sin ^2 \frac{B}{2}+\sin ^2 \frac{C}{2}=

\sin ^2(A / 2)+\sin ^2(B / 2)-\sin ^2(C / 2)=