Question

Help please explain ​

Answer 1

Given:

$\sin^{-1}\left(\dfrac{5}{8}\right)=A$

To find:

The correct equivalent equation.

Solution:

We have,

$\sin^{-1}\left(\dfrac{5}{8}\right)=A$

Taking sin on both sides, we get

$\sin \sin^{-1}\left(\dfrac{5}{8}\right)=\sin A$

$\dfrac{5}{8}=\sin A$                      $[\because \sin (\sin^{-1}\theta )=\theta]$

Interchanging the sides, we get

$\sin A=\dfrac{5}{8}$

Therefore, the correct option is 4.