Find All Solutions of the Following Equation in the Interval $\sin x - 3 = \cos x - 3$

Multiple Choice

Find all solutions of the following equation in the interval [0,2π) .​ $\sin x - 3 = \cos x - 3$ ​

A) $\frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 }$
B) ​ $\frac { \pi } { 2 } , \frac { 5 \pi } { 2 }$
C) ​ $\frac { 3 \pi } { 4 } , \frac { 7 \pi } { 4 }$
D) ​ $\frac{\pi}{2}, \frac{5 \pi}{2}$
E) ​ $\frac { \pi } { 4 } , \frac { 5 \pi } { 4 }$