NCERT Exemplar MCQ Quiz

The value of the expression
\(\left[\frac{\sin ^2 22^{\circ}+\sin ^2 68^{\circ}}{\cos ^2 22^{\circ}+\cos ^2 68^{\circ}}+\sin ^2 63^{\circ}+\cos 63^{\circ} \sin 27^{\circ}\right]\) is

If \(\cos (\alpha+\beta)=0\), then \(\sin (\alpha-\beta)\) can be reduced to

The value of the expression \(\left[\operatorname{cosec}\left(75^{\circ}+\theta\right)-\sec \left(15^{\circ}-\theta\right)-\tan \right. \left.\left(55^{\circ}+\theta\right)+\cot \left(35^{\circ}-\theta\right)\right]\) is

Given that \(\sin \theta=\frac{a}{b}\), then \(\cos \theta\) is equal to

If \(\sin \mathrm{A}+\sin ^2 \mathrm{~A}=1\), then the value of the expression ( \(\cos ^2 \mathrm{~A}+\cos ^4 \mathrm{~A}\) ) is

If \(4 \tan \theta=3\), then \(\left(\frac{4 \sin \theta-\cos \theta}{4 \sin \theta+\cos \theta}\right)\) is equal to