Find All Solutions of the Following Equation in the Interval $\pi$

Multiple Choice

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

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) $\frac { \pi } { 4 } , \frac { 5 \pi } { 4 }$