Explore topic-wise MCQs in Mathematics Questions and Answers.

This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.

\(sin^{-1}⁡x\) is same as \((sin⁡x)^{-1}\).

A. True
B. False
Answer» C.
2.

If \(cos^{-1}⁡x=y\), then which of the following is correct?

A. 0 ≤ y ≤ π
B. 0 < y < π
C. –\(\frac{π}{2}≤y≤\frac{π}{2}\)
D. –\(\frac{π}{2}<y<\frac{π}{2}\)
Answer» B. 0 < y < π
3.

Find the value of \(cos⁡(sin^{-1}⁡\frac{\sqrt{3}}{2})\) is _____

A. \(\frac{\sqrt{3}}{2}\)
B. \(\frac{1}{4}\)
C. \(\frac{1}{2}\)
D. 0
Answer» D. 0
4.

Find the value of \(sin^{-1}⁡(sin⁡ \frac{4π}{3})\) is _______

A. π
B. \(\frac{π}{3}\)
C. \(\frac{4π}{3}\)
D. –\(\frac{π}{3}\)
Answer» E.
5.

What is the value of 5 \(cos^{-1}\frac{⁡1}{2} + 7 sin^{-1}⁡(\frac{-1}{2})\) ?

A. –\(\frac{π}{2}\)
B. π
C. \(\frac{π}{2}\)
D. \(\frac{17π}{6}\)
Answer» D. \(\frac{17π}{6}\)
6.

The domain of sin-1⁡(3x) is equal to _______

A. [-1, 1]
B. \([\frac{-1}{3}, \frac{1}{3}]\)
C. [-3, 3]
D. [-3π, 3π]
Answer» C. [-3, 3]
7.

What is the value of \(tan^1⁡\frac{1}{√3}-sin^{-1}⁡1+ cos^{-1}\frac{⁡1}{2}\) is ________

A.
B. \(⁡\frac{π}{2}\)
C. π
D. 0
Answer» D. 0
8.

What is the principle value of \(sec^{-1}⁡(\frac{2}{\sqrt{3}})\).

A. \(\frac{π}{6}\)
B. \(\frac{π}{3}\)
C. \(\frac{π}{4}\)
D. \(\frac{π}{2}\)
Answer» B. \(\frac{π}{3}\)
9.

\(tan^{-1}\sqrt{3}+sec^{-1}⁡2 – cos^{-1}⁡1\) is equal to ________

A. 0
B. \(\frac{2π}{3}\)
C. \(\frac{π}{3}\)
D. \(\frac{π}{4}\)
Answer» C. \(\frac{π}{3}\)