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

question 46

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) \(\cos ( u + v ) = \frac { 33 } { 65 }\)
• D) \(\cos ( u + v ) = - \frac { 28 } { 65 }\)
• E) \(\cos ( u + v ) = \frac { 56 } { 65 }\)

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Definitions:

Industrialization

The process by which an economy is transformed from primarily agricultural to one based on the manufacturing of goods, involving widespread technological innovation.

Marx

Karl Marx, a 19th-century philosopher, economist, and revolutionary socialist known for his theories about capitalism and communism.

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The outcomes or results that naturally follow from an action or condition, affecting how situations unfold.

Sociological Imagination

The ability to see the connections between personal experiences and larger social forces, a concept introduced by C. Wright Mills.