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Solve sin x = 1

Step by step, with the reason for every step · Trig equations · Trigonometry

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°

Your turn

Try this one yourself, then check:

cos x = 1
Show the answer
x = 0°

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