The value of ${\sin }^{-1}\left[\cos \left(\frac{33\pi }{5}\right)\right]$ is

Important Questions on Inverse Trigonometric Functions

EASY

12th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 24

The domain of the function ${\cos }^{-1}(2x-1)$ is

EASY

12th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 25

The domain of the function defined by $f\left(x\right)={\sin }^{-1}\sqrt{x-1}$ is

EASY

12th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 26

If $\cos \left({\sin }^{-1}\frac{2}{5}+{\cos }^{-1}x\right)=0$ then $x$ is equal to

EASY

12th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 27

The value of $\sin \left[2{\tan }^{-1}(0.75)\right]$ is equal to

EASY

12th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 28

The value of ${\cos }^{-1}\left(\cos \frac{3\pi }{2}\right)$ is equal to

EASY

12th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 29

The value of the expression $2{\sec }^{-1}2+{\sin }^{-1}\left(\frac{1}{2}\right)$ is

EASY

12th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 30

If ${\tan }^{-1}x+{\tan }^{-1}y=\frac{4\pi }{5}$, then ${\cot }^{-1}x+{\cot }^{-1}y$ equal to

HARD

12th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 31

If ${\sin }^{-1}\left(\frac{2a}{1+a^2}\right)+{\cos }^{-1}\left(\frac{1-a^2}{1+a^2}\right)={\tan }^{-1}\left(\frac{2x}{1-x^2}\right)$, where $a, x\in [0,1]$ then the value of $x$ is