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

question 14

Multiple Choice

Use the given information to find the exact value of the expression.
- $\sin \alpha = \frac { 3 } { 5 } , \alpha$ lies in quadrant II, and $\cos \beta = \frac { 2 } { 5 } , \beta$ lies in quadrant I $\quad$ Find $\cos ( \alpha - \beta )$ .

• A) \(\frac { - 8 + 3 \sqrt { 21 } } { 25 }\)
• B) \(\frac { 6 + 4 \sqrt { 21 } } { 25 }\)
• C) \(\frac { 6 - 4 \sqrt { 21 } } { 25 }\)
• D) \(\frac { 8 - 3 \sqrt { 21 } } { 25 }\)

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Definitions:

Secondary Sex Characteristics

Physical features that emerge during puberty which are not directly involved in reproduction but distinguish the two sexes.

Spermarche

The onset of a male's ability to produce sperm, marking the beginning of sexual maturity.

Androgyny

A gender expression that includes a balance of masculine and feminine characteristics, or a non-traditional gender identity.

Social Learning Theory

The theory that we learn social behavior by observing and imitating and by being rewarded or punished.