Use Inverse Functions Where Needed to Find All Solutions (If $[ 0,2 \pi )$

Multiple Choice

Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval $[ 0,2 \pi )$ . $\cos ^ { 2 } x - 5 \sin x + 5 = 0$

A) $x = \frac { \pi } { 2 }$
B) $x = \frac { \pi } { 6 } , \frac { 3 \pi } { 2 }$
C) $x = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 }$
D) solution does not exist
E) $x = \frac { 3 \pi } { 4 } , \frac { 7 \pi } { 4 }$