sin x + cos x is not equal to 1 for all values of x. This is not a trigonometric identity.

The equation holds for some values of x.

sin x + cos x = 1

=> (sin x + cos x)^2 = 1

=> sin^2x + cos^2x + 2*sin x*cos x = 1

=> 2*sin x*cos x = 0

=> sin 2x = 0

=> `2x = sin^-1 0`

=> x = 0, x = `pi/2 `

**The solution of the equation sin x + cos x = 1 is `x = n*2*pi ` and **`x = pi/2 + 2*n*pi `

## See eNotes Ad-Free

Start your **48-hour free trial** to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Already a member? Log in here.