Find All Solutions of the Following Equation in the Interval $[ 0,2 \pi )$

Multiple Choice

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

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