Find all solutions of the equation in the interval 0 2pi Ent

Find all solutions of the equation in the interval [0, 2pi). (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) sin x - 1 = cos x - 1

Solution

sin x - 1 = cos x - 1

sin x = cos x - 1 + 1

sin x = cos x

sin x / cos x = 1

tan x = 1

tan x = tan ( pi/ 4) or tan x = tan ( pi + pi/4)

x = pi/4 or x = 5 pi/4

ans = pi/4, 5Pi/4