Question

What is the value of arcsin(2√2)?
 answer: it's the picture attached.
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Answer 1

Therefore the correct option is first one

`(\pi)/(4)`

Explanation:

Given:

`\arcsin ((√(2) )/(2))`

To Find:

`\arcsin ((√(2) )/(2))=?`

Solution:

The arcsin function is the inverse of the sine function.

It returns the angle whose sine is a given number.

So,

`\sin (\pi)/(4)=(1)/(√(2))`

Means: The sine of
`(\pi)/(4)` radian is
`(1)/(√(2))`

∴
`\arcsin ((√(2))/(2))\\ Rationalizing \ we\ get\\\arcsin ((√(2))/(2))=\arcsin ((√(2))/(2)* (√(2))/(√(2) ) )\\\\\arcsin ((√(2))/(2))=\arcsin ((1)/(√(2)))`

Means: The angle whose sin is
`(1)/(√(2))` is
`(\pi)/(4)` radian.

Therefore the correct option is first one

`(\pi)/(4)`