Find the Exact Value Of $\cos ( u + v )$

question 5

Multiple Choice

Find the exact value of $\cos ( u + v )$ given that $\sin u = \frac { 5 } { 13 }$ and $\cos v = - \frac { 4 } { 5 }$ . (Both $u$ and $v$ are in Quadrant II.)

• A) \(\cos ( u + v ) = \frac { 28 } { 65 }\)
• B) \(\cos ( u + v ) = - \frac { 16 } { 65 }\)
• C) \(\quad \cos ( u + v ) = \frac { 33 } { 65 }\)
• D) \(\cos ( u + v ) = - \frac { 28 } { 65 }\)
• E)
• \(\cos ( u + v ) = \frac { 56 } { 65 }\)

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Definitions:

Democratic

Relating to a system of government where power is vested in the people, who rule either directly or through freely elected representatives.

Slave Labor

The forced labor of people treated as property (slaves), commonly used without pay and under threat of violence.

Egalitarian Value System

A belief system that emphasizes equality, advocating for equal rights and opportunities for all individuals, regardless of their background or status.

Devaluing Free Labor

The process by which the economic and social value of work done voluntarily or without wage compensation is diminished.