Short Quiz

Question 1 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 2 of 5

NCERT Exemplar

If \(\sin A=\frac{1}{2}\), then the value of \(\cot A\) is

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

Select one option. Answers are shown after the test.

Question 3 of 5

NCERT Exemplar

If \(\triangle A B C\) is right angled at \(C\), then the value of \(\cos (A+B)\) is

A 0 B 1 C \(\frac{1}{2}\) D \(\frac{\sqrt{3}}{2}\)

Select one option. Answers are shown after the test.

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 one option. Answers are shown after the test.

Question 5 of 5

CBSE Board Exam 2026

When \(\sin \mathrm{A}=\frac{1}{3}\), the value of \(\cot \mathrm{A}\) is

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

Select one option. Answers are shown after the test.

Class 6