Find the Exact Value of the Expression Using the Provided $\sin ( \mathrm { s } + \mathrm { t } )$

Find the exact value of the expression using the provided information.
-Find $\sin ( \mathrm { s } + \mathrm { t } )$ given that $\cos \mathrm { s } = - \frac { 1 } { 6 }$ , with $\mathrm { s }$ in quadrant III, and $\cos t = - \frac { 3 } { 5 }$ , with $t$ in quadrant III.

A) $\frac { 3 + 4 \sqrt { 35 } } { 30 }$
B) $\frac { 3 \sqrt { 35 } - 4 } { 30 }$
C) $\frac { 3 - 4 \sqrt { 35 } } { 30 }$
D) $\frac { 3 \sqrt { 35 } + 4 } { 30 }$

Correct Answer:

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