# Find all real numbers in interval [0,2π)? sin x cos(π/4)+cos x sin (π/4)=1/2

##### 1 Answer

Apr 15, 2018

I get

#### Explanation:

The expression given fits the formula for the sine of a sum:

Here put in

(1)

(2)

Possibility (1) gives

and to get a number between

Possibility (2) gives

and to get a number between