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

question 250

Multiple Choice

Find the exact value of the expression using the provided information.
-Find $\sin ( s - t )$ given that $\cos s = \frac { 1 } { 3 }$ , with $s$ in quadrant $\mathrm { I }$ , and $\sin t = \frac { 1 } { 4 }$ , with $\mathrm { t }$ in quadrant II.

• A) \(\frac { - 12 \sqrt { 2 } - 1 } { 30 }\)
• B) \(\frac { - 12 \sqrt { 30 } - 1 } { 2 }\)
• C) \(\frac { - 2 \sqrt { 30 } - 1 } { 12 }\)
• D) \(\frac { - 30 \sqrt { 2 } - 1 } { 12 }\)

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Definitions:

Synapse

The junction between two nerve cells, consisting of a minute gap across which impulses pass by diffusion of a neurotransmitter.

Nerve Impulse

A signal transmitted along a nerve fiber, consisting of a wave of electrical depolarization that reverses the electric potential along the membrane of the nerve cell.

Neighboring Neuron

A neuron that is located adjacent to another neuron, facilitating neural communication.

Split-Brain

A condition resulting from surgery that involves severing the corpus callosum to treat severe epilepsy, leading to separate consciousnesses in the two hemispheres of the brain.