Question

What is the value of Arc sine (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)? StartFraction pi Over 6 EndFraction StartFraction pi Over 4 EndFraction StartFraction 7 pi Over 4 EndFraction StartFraction 11 pi Over 6 EndFraction

Answer 1

B

Explanation:

got it right

Answer 2

Given:

The expression is

`arcsine\left((√(2))/(2)\right)`

To find:

The value of given expression.

Solution:

We have,

`arcsine\left((√(2))/(2)\right)`

It can be rewritten as

`=\sin^(-1)\left((√(2))/(2)\right)`

`=\sin^(-1)\left((1)/(√(2))\right)`

`=\sin^(-1)\left(\sin (\pi)/(4)}\right)`

`=(\pi)/(4)`

Therefore, the correct option is B.