Use Identities to Fill in the Blank with the Appropriate $\sin ( \mathrm { s } - \mathrm { t } )$

question 66

Multiple Choice

Use identities to fill in the blank with the appropriate trigonometric function name.
-Find $\sin ( \mathrm { s } - \mathrm { t } )$ given that $\sin \mathrm { s } = - \frac { 1 } { 2 }$ , with $\mathrm { s }$ in quadrant $\mathrm { IV }$ , and $\sin \mathrm { t } = \frac { 1 } { 4 }$ , with $\mathrm { t }$ 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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Friedrich Nietzsche, an influential figure in Western philosophy, whose works explored the depths of human psyche, morality, and existence, emphasizing the importance of individuality and willpower.