Explore topic-wise MCQs in Mathematics.

This section includes 7 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

sin-1⁡x+cos1⁡x= ___

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

Find the value of sin-1⁡(\(\frac{3}{5}\))+sin-1⁡(\(\frac{4}{5}\))+cos-1⁡\((\frac{\sqrt{3}}{2})\).

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

Find the value of sin-1⁡(\(\frac{5}{13}\))+cos-1⁡(\(\frac{3}{5}\)).

A. sin-1⁡(\(\frac{63}{65}\))
B. sin-1⁡1
C. 0
D. sin-1⁡(\(\frac{64}{65}\))
Answer» B. sin-1⁡1
Discussion
4.

Which of the following formula is incorrect?

A. sin-1⁡x+sin-1⁡y=sin-1⁡{\(x\sqrt{1-y^2}+y\sqrt{1-x^2}\)}
B. sin-1⁡x-sin-1⁡y=sin-1⁡{\(x\sqrt{1+y^2}+y\sqrt{1+x^2}\)}
C. 2 tan-1⁡x=tan-1⁡\((\frac{2x}{1-x^2})\)
D. 2 cos-1⁡x=cos-1⁡(3x-4x3)
Answer» C. 2 tan-1⁡x=tan-1⁡\((\frac{2x}{1-x^2})\)
Discussion
5.

What is the value of cos⁡(tan-1⁡(\(\frac{4}{5}\)))?

A. \(\frac{5}{4}\)
B. \(\frac{5}{\sqrt{41}}\)
C. \(\frac{\sqrt{41}}{5}\)
D. \(\frac{4}{5}\)
Answer» C. \(\frac{\sqrt{41}}{5}\)
Discussion
6.

What is sec-1⁡x in terms of tan-1⁡?

A. tan-1⁡\(\sqrt{1+x^2}\)
B. tan-1⁡1+x2
C. tan-1⁡x
D. tan-1⁡\(\sqrt{x^2-1}\)
Answer» E.
Discussion
7.

sin-1⁡x in terms of cos-1⁡is ____________

A. cos-1⁡\(\sqrt{1+x^2}\)
B. cos-1⁡\(\sqrt{1-x^2}\)
C. cos-1⁡x
D. cos-1\(\frac{⁡1}{x}\)
Answer» C. cos-1⁡x
Discussion