Question

Help please explain ​

Answer 1

Given:

`\sin^(-1)\left((5)/(8)\right)=A`

To find:

The correct equivalent equation.

Solution:

We have,

`\sin^(-1)\left((5)/(8)\right)=A`

Taking sin on both sides, we get

`\sin \sin^(-1)\left((5)/(8)\right)=\sin A`

`(5)/(8)=\sin A`
`[\because \sin (\sin^(-1)\theta )=\theta]`

Interchanging the sides, we get

`\sin A=(5)/(8)`

Therefore, the correct option is 4.