Question

Sin(x)=1/4 [0, 360]​

Answer 1

`x=14.5\degree` or
`x=165.5\degree`

Explanation:

We want to solve the equation;

`\sin x=(1)/(4)` on the interval
`[0,360\degree]`

The sine ratio is positive in the first and second quadrant.

We take the sine inverse of both sides of the equation to get;

`x=\sin^(-1)((1)/(4))`

`x=14.5\degree`

This is the angle in the first quadrant.

In the second quadrant;

`x=180-14.5`

`x=165.5\degree`