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

question 483

Multiple Choice

Find the exact value of the expression using the provided information.
-Find $\tan ( \mathrm { s } + \mathrm { t } )$ given that $\cos \mathrm { s } = \frac { 1 } { 3 }$ , with $\mathrm { s }$ in quadrant $\mathrm { I }$ , and $\sin t = - \frac { 1 } { 2 }$ , with $\mathrm { t }$ in quadrant IV.

• A) \(\frac { 9 \sqrt { 3 } - 8 \sqrt { 2 } } { 5 }\)
• B) \(\frac { 9 \sqrt { 3 } + 8 \sqrt { 2 } } { 3 }\)
• C) \(\frac { 9 \sqrt { 3 } + 8 \sqrt { 2 } } { 5 }\)
• D) \(\frac { 9 \sqrt { 3 } - 8 \sqrt { 2 } } { 3 }\)

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