Question

What is the measure of an angle whose sine is √3/2

 ? 60 45 30

Answer 1

ANSWER

The required angle is

`60 \degree`

Step-by-step explanation

Let the angle whose sine is

`( √(3) )/(2)`
be

`x \degree`

Then


`\sin(x \degree) = ( √(3) )/(2)`


We take the inverse sign of both sides to obtain,


`x = \sin ^( - 1) ( ( √(3) )/(2) )`

We use our scientific calculator to evaluate and obtain,


`x = 60 \degree`