10 Question MCQ (including Assertion)

The value of \(\left(\tan 1^{\circ} \tan 2^{\circ} \tan 3^{\circ} \ldots \tan 89^{\circ}\right)\) is

If \(\sin 4 \theta=\frac{\sqrt{3}}{2}\), then \(\frac{\theta}{3}\) equals :

\(\frac{\cos \theta}{\sqrt{1-\cos ^2 \theta}}\) is equal to :

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

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 \(\cos \theta=\frac{\sqrt{3}}{2}\) and \(\sin \phi=\frac{1}{2}\), then \(\tan (\theta+\phi)\) is :

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

The value of \(\left(\sin 30^{\circ}+\cos 30^{\circ}\right)-\left(\sin 60^{\circ}+\cos 60^{\circ}\right)\) is

If \(\sin \theta-\cos \theta=0\), then the value of \(\left(\sin ^4 \theta+\cos ^4 \theta\right)\) is