The principal value of ${\cos }^{-1}\left(-\sin \frac{7\pi }{6}\right)$ is

Important Questions on Inverse Trigonometric Functions

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 4 - Inverse Trigonometric Functions>Target Exercises>Q 3

The principal value of ${\sin }^{-1}\left\{\cos \left({\sin }^{-1}\frac{\sqrt{3}}{2}\right)\right\}$ is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 4 - Inverse Trigonometric Functions>Target Exercises>Q 4

The value of $\cos \left\{{\tan }^{-1}\left(\tan \frac{15\pi }{4}\right)\right\}$ is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 4 - Inverse Trigonometric Functions>Target Exercises>Q 5

$-\frac{2\pi }{5}$ is the principal value of

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 4 - Inverse Trigonometric Functions>Target Exercises>Q 6

The ${\cos }^{-1}\left\{\frac{1}{\sqrt{2}}\left(\cos \frac{9\pi }{10}-\sin \frac{9\pi }{10}\right)\right\}$ is value

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 4 - Inverse Trigonometric Functions>Target Exercises>Q 7

${cosec}^{-1}\left(\cos x\right)$ is real, if

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 4 - Inverse Trigonometric Functions>Target Exercises>Q 8

If ${\sin }^{-1}x-{\cos }^{-1}x=\frac{\pi }{6}$, then $x$ is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 4 - Inverse Trigonometric Functions>Target Exercises>Q 9

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

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 4 - Inverse Trigonometric Functions>Target Exercises>Q 10

The principal value of ${\sin }^{-1}\left(\sin \frac{3\pi }{4}\right)$ is