Sin(x)=1/4 [0, 360]

Question

asked Feb 19, 2020 114k views

1 Answer

Fredefl · Answer 1 · 2020-02-23T23:01:43+0000

Answer:

$x=14.5\degree$ 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

$x=165.5\degree$