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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Definitions:

Poverty

A condition where individuals or groups lack the financial resources to meet basic living needs, such as food, housing, and healthcare.

First Nations Children

The young members of the First Nations, the various Aboriginal peoples in Canada who are neither Inuit nor Métis, often focusing on their rights, well-being, and cultural heritage.

Proletariat

The workers.

Bourgeoisie

A social class characterized by their ownership of capital and their related economic, social, and cultural dominance.