Suppose That $\triangle A B C$ Is a Right Triangle With $\angle C = 90 ^ { \circ }$

Multiple Choice

Suppose that $\triangle A B C$ is a right triangle with $\angle C = 90 ^ { \circ }$ . If $A B = 3$ and $B C = \frac { 3 \sqrt { 3 } } { 2 }$ , find the quantities. $\cos A , \sin B$

A) $\cos A = \frac { 1 } { 3 } , \sin B = \frac { \sqrt { 3 } } { 2 }$
B) $\cos A = \frac { 1 } { 2 } , \sin B = \frac { 1 } { 2 }$
C) $\cos A = \frac { \sqrt { 3 } } { 2 } , \sin B = \frac { \sqrt { 3 } } { 2 }$
D) $\cos A = \frac { 2 } { 3 } , \sin B = \frac { \sqrt { 3 } } { 2 }$
E) $\cos A = \frac { \sqrt { 3 } } { 2 } , \sin B = \frac { 1 } { 3 }$