Domain of ${\sec }^{-1}x$ is

Important Questions on Inverse Trigonometric Functions

MEDIUM

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 2 - Inverse Trigonometric Functions>Exercise>Q 5

The principal value of ${\tan }^{-1}\left(-\sqrt{3}\right)$ is 

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 2 - Inverse Trigonometric Functions>Exercise>Q 6

If ${\sin }^{-1}x=y$, then

MEDIUM

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 2 - Inverse Trigonometric Functions>Exercise>Q 7

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

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 2 - Inverse Trigonometric Functions>Exercise>Q 8

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

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 2 - Inverse Trigonometric Functions>Exercise>Q 9

The principal value of ${\cos }^{-1}\left(-1\right)$ is

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 2 - Inverse Trigonometric Functions>Exercise>Q 10

${\tan }^{-1}\left(\tan \frac{7\pi }{6}\right)=$

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 2 - Inverse Trigonometric Functions>Exercise>Q 11

${cosec}^{-1}\left(cosec\frac{4\pi }{3}\right)=$

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 2 - Inverse Trigonometric Functions>Exercise>Q 12

${\cos }^{-1}\left(\cos \frac{2\pi }{3}\right)+{\sin }^{-1}\left(\sin \frac{2\pi }{3}\right)=$ 

If the answer is $p\mathrm{\pi }$, find $p$.