Use the Given Information to Find the Exact Value of the Trigonometric

question 128

Multiple Choice

Use the given information to find the exact value of the trigonometric function.
- $\sec \theta = 4 , \theta$ lies in quadrant I $\quad$ Find $\cos \frac { \theta } { 2 }$

• A) \(\frac { \sqrt { 10 } } { 4 }\)
• B) \(\frac { \sqrt { 6 } } { 4 }\)
• C) \(\frac { \sqrt { 8 - 2 \sqrt { 15 } } } { 4 }\)
• D) \(\frac { \sqrt { 8 + 2 \sqrt { 15 } } } { 4 }\)

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Definitions:

Opposition

The movement of the thumb to touch the tips of the other fingers on the same hand, enabling grasping and manipulation of objects.

Adduction

The movement of a body part toward the central axis of the body or toward another part, as in bringing arms or legs closer to the torso.

Lateral Flexion

A movement that bends the spine sideways to the left or right.

Hyperextension

An excessive extension of a limb or part beyond its normal limit, often resulting in injury.