# How do you solve #sin x + cos x = 1#?

##### 2 Answers

Refer to explanation

#### Explanation:

Squaring both sides of the equation yields to

The solutions to

So the solutions are

The following identities were used

Solve sin x + cos x = 1

Ans: x = 0 and

#### Explanation:

Use the trig identity:

We get:

and

a.

b.

Check.

x = 0 --> sin x = 0; cos x = 1. Then 0 + 1 = 1. OK