JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

1 of 1

Application +4 | -1

\mathrm{\;}x\mathrm{\;}

lies in IInd quadrant, then

\;\frac{{\sqrt {1 + \sin \,\,x} + \sqrt {1 - \sin \,\,x} }}{{\sqrt {1 + \sin \,\,x} - \sqrt {1 - \sin \,\,x} }}\;

is equal to

View answer and explanation

Correct option: B

\tan \,\,\frac{x}{2}

Option B is correct because by simplifying the given expression using trigonometric identities and considering the quadrant of x, the result is

\tan \,\frac{x}{2}

More Questions from TRIGONOMETRY RATIOS

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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)=