Find the Exact Value of the Expression If θ = $\mathrm { f } ( \theta ) = \cos \theta \quad$

question 173

Multiple Choice

Find the exact value of the expression if θ = 30°. Do not use a calculator.
- $\mathrm { f } ( \theta ) = \cos \theta \quad$ Find $[ \mathrm { f } ( \theta ) ] ^ { 2 }$ .

• A) \(\frac { \sqrt { 3 } } { 2 }\)
• B) \(\sqrt { 3 }\)
• C) \(\frac { 3 } { 4 }\)
• D) \(\frac { 1 } { 4 }\)

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Definitions:

Hypoglossal Nerve

The twelfth cranial nerve responsible for motor control of the tongue, essential for swallowing and speech.

Sympathetic Nerves

Part of the autonomic nervous system that prepares the body for "fight or flight" response, regulating heart rate, blood pressure, and energy mobilization.

Parasympathetic Nerves

Nerves of the autonomic nervous system that conserve energy by slowing the heart rate and increasing intestinal and gland activity.

Spinal Nerves

Nerves that originate from the spinal cord and branch out to various parts of the body to transmit sensory and motor signals.