Rewrite the Expression as an Algebraic Expression in X $\sin \left( \cos ^ { - 1 } x \right)$

question 13

Multiple Choice

Rewrite the expression as an algebraic expression in x. $\sin \left( \cos ^ { - 1 } x \right)$

• A) \(1 - x\)
• B) \(1 - x ^ { 2 }\)
• C) \(\sqrt { 1 - x ^ { 2 } }\)
• D) \(\frac { \sqrt { x ^ { 2 } - 1 } } { x }\)
• E) \(\frac { x } { \sqrt { x ^ { 2 } - 1 } }\)

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Definitions:

Sensory Adaptation

A change over time in the responsiveness of the sensory system to a constant stimulus, often leading to a decrease in sensitivity to that stimulus.

Prolonged Stimulation

Continuous or extended exposure to a stimulus over a considerable period of time.

Neurotransmitter

Chemical messengers that transmit signals across a chemical synapse, from one neuron (nerve cell) to another 'target' neuron, muscle cell, or gland cell.

Amplitude

Amplitude refers to the magnitude or strength of a fluctuating signal, such as sound, light, or electrical signal, often measured from its baseline to its peak.