JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1

In a quadrilateral, the measure of the angles are in A.P. If the ratio of the measures of the greatest and the smallest angles is

2: 1

, then the measure of the greatest angle in radians is ...... .

View answer and explanation

Correct option: B

\frac{2 \pi}{3}

Option B (

\left[-1, \frac{{1}}{{\sqrt{{2}}}}\right]

) is correct because solving the inequality

\sin^{-1}x \le \cos^{-1}x

leads to this interval.

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

\alpha=6 \beta

\alpha

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

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

\triangle A B C

C

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

\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)=