Short Quiz

Question 1 of 5

NCERT Exemplar

The value of \(\frac{\tan 30^{\circ}}{\cot 60^{\circ}}\) is

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

Select one option. Answers are shown after the test.

Question 2 of 5

CBSE Board Exam 2025

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

A \(60^{\circ}\) B \(20^{\circ}\) C \(15^{\circ}\) D \(5^{\circ}\)

Select one option. Answers are shown after the test.

Question 3 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 one option. Answers are shown after the test.

Question 4 of 5

CBSE Board Exam 2026

The value of \(\left(\cot ^2 \mathrm{~A}-\frac{1}{\sin ^2 \mathrm{~A}}\right)\) is :

A more than 1 B 1 C 0 D - 1

Select one option. Answers are shown after the test.

Question 5 of 5

NCERT Exemplar

\(\sin \left(45^{\circ}+\theta\right)-\cos \left(45^{\circ}-\theta\right)\) is equal to

A \(2 \cos \theta\) B 0 C \(2 \sin \theta\) D 1

Select one option. Answers are shown after the test.

Class 6