Step by step
The question
Question: solve sin x = 1.
Find every angle from 0° up to 360°.
sin x = 1
We want the angles from 0° to 360°: one full turn.
0° ≤ x < 360°
1 Find every angle
Sin is the up value.
The points with the height we want are on a flat line.
The up value is 1 at one point only.
x = 90°.
sin x = 1: x = 90°
On the circle: 1 point, so 1 angle.
So x = 90°.
x = 90°
2 Check
Let's check every answer in the equation.
Each one must give 1.
x = 90°: sin 90° = 1 = 1
Every answer works.
So x = 90°.
Let's look back.
First: find every angle.
Last: check.
Answer
x = 90°