Use the Fundamental Identities to Find the Value of the Trigonometric

question 84

Multiple Choice

Use the fundamental identities to find the value of the trigonometric function.
-Find $\cos \theta$ , given that $\tan \theta = - \frac { 4 } { 7 }$ and $\theta$ is in quadrant II.

• A) \(\frac { \sqrt { 65 } } { 4 }\)
• B) \(- \frac { 7 \sqrt { 65 } } { 65 }\)
• C) \(\frac { 7 \sqrt { 65 } } { 65 }\)
• D) \(- \frac { \sqrt { 65 } } { 7 }\)

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Definitions:

Induction

The process or ceremony of formally introducing someone to a new position, role, or environment.

Analogy

A comparison between two things, typically for the purpose of explanation or clarification.

Generalization

A broad statement or an idea that applies to a group of items or people, based on common qualities.

Inductive Reasoning

A logical process in which multiple premises, all believed true or found true most of the time, are combined to obtain a specific conclusion.