Solve the Following Trigonometric Equation on the Interval $[ 0,2 \pi )$

Multiple Choice

Solve the following trigonometric equation on the interval $[ 0,2 \pi )$ .
$$\sin ( x ) + \cos ( x ) = 0$$

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