${\cos }^{-1}x$ is equal to

Important Questions on Inverse Trigonometric Functions

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 6 - Inverse Trigonometric Functions>Exercise 1>Q 8

The value of $\tan \left({\cot }^{-1}\frac{{\displaystyle 1}}{{\displaystyle \mathrm{a}}}\right), a>0$, is

MEDIUM

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 6 - Inverse Trigonometric Functions>Exercise 1>Q 9

${\cot }^{-1}\left(\sqrt{\cos \alpha }\right)-{\tan }^{-1}\left(\sqrt{\cos \alpha }\right)=x$, then $\sin x$ equals

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 6 - Inverse Trigonometric Functions>Exercise 1>Q 10

$\left\{{\tan }^{-1}\left(\frac{1}{4}\right)+{\tan }^{-1}\left(\frac{2}{9}\right)\right\}$ is equal to

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 6 - Inverse Trigonometric Functions>Exercise 1>Q 11

$3{\tan }^{-1}a, a>\frac{1}{\sqrt{3}}$ is equal to

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 6 - Inverse Trigonometric Functions>Exercise 1>Q 12

The value of ${\tan }^{-1}2+{\tan }^{-1}3$ is

MEDIUM

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 6 - Inverse Trigonometric Functions>Exercise 1>Q 13

The sum of the two angles ${\cot }^{-1}3$ and ${\mathrm{cosec}}^{-1}\sqrt{5}$ is 

MEDIUM

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 6 - Inverse Trigonometric Functions>Exercise 1>Q 14

If ${\tan }^{-1}\left(x+1\right)+{\cot }^{-1}\left(x-1\right)={\sin }^{-1}\frac{4}{5}+{\cos }^{-1}\frac{3}{5}$, then $x$ has the value

MEDIUM

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 6 - Inverse Trigonometric Functions>Exercise 1>Q 15

If ${\theta }_1={\sin }^{-1}\frac{4}{5}+{\sin }^{-1}\frac{1}{3}$ and ${\theta }_2={\cos }^{-1}\frac{4}{5}+{\cos }^{-1}\frac{1}{3}$, then