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

Important Questions on Inverse Trigonometric Functions

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 3

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

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

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 3

$\sin \left({\cos }^{-1}x\right)-\cos \left({\sin }^{-1}x\right)=$

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 3

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

MEDIUM

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 3

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

MEDIUM

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 3

If ${\tan }^{-1}x+{\tan }^{-1}y=\frac{4\pi }{5}$, then the value of ${\cot }^{-1}x+{\cot }^{-1}y$ is 

MEDIUM

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 3

If ${\sin }^{-1}x+{\sin }^{-1}(1-x)+{\cos }^{-1}x=0$, then the value of $x$ is 

MEDIUM

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 3

If ${\sin }^{-1}x+{\sin }^{-1}y=\frac{\pi }{2}$, then the value of ${\cos }^{-1}x+{\cos }^{-1}y$ is 

MEDIUM

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 2 - Inverse Trigonometric Functions>EXERCISE>Q 3

If ${\sec }^{-1}x={cosec}^{-1}y$, then the value of ${\cos }^{-1}\frac{1}{x}+{\cos }^{-1}\frac{1}{y}$ is