Decide Whether the Expression Is or Is Not an Identity $\cos \frac { \theta } { 2 }$

question 70

Multiple Choice

Decide whether the expression is or is not an identity.
-Find $\cos \frac { \theta } { 2 }$ , given that $\sin \theta = \frac { 1 } { 4 }$ and $\theta$ terminates in $0 < \theta < 90 ^ { \circ }$ .

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

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Definitions:

Partner's Identity

A concept referring to the aspects of an individual's self-concept derived from their relationship and perception by their partner.

Motivation

A psychological factor that drives an individual to take action toward achieving a desired goal.

Relationships

Refer to the connections, associations, or interactions between two or more individuals, which can be based on kinship, love, friendship, or other social commitments.

Openness to Experience

A personality trait that features the willingness to try new things and be open to new and diverse experiences.