Short Quiz

Question 1 of 5

CBSE Board Exam 2024

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

A \(\sqrt{3}\) B \(\frac{1}{\sqrt{3}}\) C 1 D not defined

Select an option to see the answer, or skip this question.

Question 2 of 5

NCERT Exemplar

If \(\cos 9 \alpha=\sin \alpha\) and \(9 \alpha<90^{\circ}\), then the value of \(\tan 5 \alpha\) is

A \(\frac{1}{\sqrt{3}}\) B \(\sqrt{3}\) C 1 D 0

Select an option to see the answer, or skip this question.

Question 3 of 5

CBSE Board Exam 2026

Given that \(\sin 2 \alpha=\frac{\sqrt{3}}{2}\), the value of \(\sin 3 \alpha\) is :

A \(\frac{3 \sqrt{3}}{4}\) B \(\frac{1}{2}\) C 1 D \(\frac{\sqrt{3}}{4}\)

Select an option to see the answer, or skip this question.

Question 4 of 5

CBSE Board Exam 2026

The value of \(\left(\frac{1}{3} \cot ^2 30^{\circ}-\frac{1}{2} \sec ^2 60^{\circ}\right)\) is :

A \(-1\) B \(-2\) C \(\frac{5}{8}\) D \(\frac{7}{8}\)

Select an option to see the answer, or skip this question.

Question 5 of 5

NCERT Exemplar

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

A \(\cos \beta\) B \(\cos 2 \beta\) C \(\sin \alpha\) D \(\sin 2 \alpha\)

Select an option to see the answer, or skip this question.

Class 6