Question

Simplify the expression sin(arcsin(x))

Answer 1

Answer:
`\sin (\sin ^(-1)(x))=x`

Step-by-step explanation:

The given expression is:

sin(arcsin(x))

This can also be written as:

`\sin (\sin ^(-1)(x))`
`\text{Note that }\sin \text{ and }\sin ^(-1)\text{ are }inverse\text{ of each other and can cancel out}`

Therefore:

`\sin (\sin ^(-1)(x))=x`