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

Important Questions on Inverse Trigonometric Functions

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 16

If $2{\tan }^{-1}\left(\cos x\right)={\tan }^{-1}\left(2cosecx\right)$, then the value of $x$ is

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 17

${\sec }^{-1}\left[\sec \left(-30°\right)\right]=$

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 18

The principal value of ${\sin }^{-1}\left(\sin \frac{5\pi }{3}\right)$ is 

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 19

${\cos }^{-1}\frac{1}{2}+2{\sin }^{-1}\frac{1}{2}$ 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 20

$\cot \left[{\cos }^{-1}\left(\frac{7}{25}\right)\right]=$

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 21

Find the value of $\cos \left[{\cos }^{-1}\left(-\frac{\sqrt{3}}{2}\right)+\frac{\pi }{6}\right]$

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 22

Find the value of $\sin \left\{{\sin }^{-1}\frac{1}{2}+{\cos }^{-1}\frac{1}{2}\right\}$

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 23

If ${\sin }^{-1}x-{\cos }^{-1}x=\frac{\pi }{6}$, then find the value of $x$.