Use the Fundamental Identities to Find the Value of the Trigonometric

Multiple Choice

Use the fundamental identities to find the value of the trigonometric function.
-Find $\sin \theta$ , given that $\cos \theta = \frac { 4 } { 7 }$ and $\theta$ is in quadrant IV.

A) $- \frac { \sqrt { 33 } } { 4 }$
B) $- \frac { 7 } { 4 }$
C) $- \sqrt { 33 }$
D) $- \frac { \sqrt { 33 } } { 7 }$