Trigonometry homework!! Please help!

Question

Find all solutions of the given equation in the interval (0,2pi).

 

Sin (x - 3pi/4) + sin (x + 3pi/4) = sqrt.(2)

Answer 1

sin (x - 3π/4) + sin (x + 3π/4) = √2

sin x cos 3π/4 - sin 3π/4 cos x + sin x cos 3π/4 + sin 3π/4 cos x = √2   Sum/Difference formula

 

Can you solve for x?