1. Tardigrade
  2. Question
  3. Mathematics
  4. The number of solutions of the equation sin- 1x=( sin x)- 1 is/are

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The number of solutions of the equation $\sin^{- 1}x=\left(\sin x\right)^{- 1}$ is/are

NTA AbhyasNTA Abhyas 2022

Solution:

$\because \left(\sin x\right)^{- 1}=\frac{1}{\sin ⁡ x}=\text{cosec} ⁡ x$
Now, from graphs of $\sin^{- 1} x , \text{cosec} ⁡ x$
Solution
Clearly, both graph intersects at two points
$\therefore $ two solutions