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

question 234

Multiple Choice

Find the exact value of the expression using the provided information.
-Find $\sin ( \mathrm { s } - \mathrm { t } )$ given that $\sin \mathrm { s } = - \frac { 1 } { 2 }$ , with $\mathrm { s }$ in quadrant IV, and $\sin t = \frac { 1 } { 4 }$ , with $t$ in quadrant II.

• A) \(\frac { - \sqrt { 15 } + \sqrt { 3 } } { 8 }\)
• B) \(\frac { \sqrt { 15 } - \sqrt { 3 } } { 8 }\)
• C) \(\frac { \sqrt { 15 } + \sqrt { 3 } } { 8 }\)
• D) \(\frac { - \sqrt { 15 } - \sqrt { 3 } } { 8 }\)

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