1. ## solve the equation

sin x + cos x =1 [0,360 deg)

2. Originally Posted by dmak263
sin x + cos x =1 [0,360 deg)

$\sin(x) + \cos(x) = \sqrt{2} \sin(x+45)$

3. ## thanks

4. Originally Posted by dmak263
$A \sin x + B \cos x$ can always be written in the form $C \sin (x + \phi)$.
So expand $C \sin (x + \phi)$ and compare it with $A \sin x + B \cos x$ to get equations that you can use to solve for $C$ and $\phi$.