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

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

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

B) $\frac { 3 + 4 \sqrt { 35 } } { 30 }$

C) $\frac { 3 - 4 \sqrt { 37 } } { 30 }$

D) $\frac { 3 - 4 \sqrt { 35 } } { 30 }$

Correct Answer:

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