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 $\cos \theta$ , given that $\sin \theta = - \frac { 5 } { 13 }$ and $\theta$ is in quadrant III.

A) $- \frac { 5 } { 12 }$
B) $\frac { 12 } { 5 }$
C) $- \frac { 12 } { 13 }$
D) $- \frac { 13 } { 5 }$