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

question 82

Multiple Choice

Find the exact value of $\cos ( u + v )$ given that $\sin u = \frac { 11 } { 61 }$ and $\cos v = - \frac { 40 } { 41 }$ . (Both $u$ and $v$ are in Quadrant II.)

• A) \(\cos ( u + v ) = \frac { 160 } { 2501 }\)
• B) \(\cos ( u + v ) = - \frac { 100 } { 2501 }\)
• C) \(\cos ( u + v ) = \frac { 2301 } { 2501 }\)
• D) \(\cos ( u + v ) = - \frac { 2290 } { 2501 }\)
• E) \(\cos ( u + v ) = \frac { 980 } { 2501 }\)

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Definitions:

Homogeneous Oligopolist

A firm that is part of an oligopoly in which the products offered by the competing firms are largely identical or very similar in nature.

Highly Concentrated Industry

An industry characterized by a small number of companies holding a large market share, which can lead to reduced competition and higher prices.

Kellogg's Cereals

A brand of breakfast cereals produced by the Kellogg Company, known for varieties like Corn Flakes and Frosted Flakes.

Homogeneous Oligopoly

A market structure featuring a small number of firms offering products or services that are largely identical or undifferentiated.