Use the Fundamental Identities to Find the Value of the Trigonometric

question 47

Multiple Choice

Use the fundamental identities to find the value of the trigonometric function.
-Find $\tan \theta$ , given that $\sec \theta = \frac { 9 } { 4 }$ and $\theta$ is in quadrant IV.

• A) \(- \frac { \sqrt { 65 } } { 4 }\)
• B) \(- \frac { 9 } { 4 }\)
• C) \(- \sqrt { 65 }\)
• D) \(- \frac { \sqrt { 65 } } { 9 }\)

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Definitions:

Internal Attribution

The process of attributing the cause of behavior to internal, personal characteristics rather than to external, situational factors.

Weiner's Attribution Theory

A theory that explains how individuals infer the causes of their own and others' behavior, attributing them to either internal dispositions or external situations.

Intrinsic

Describes motivation or values driven by internal rewards, such as personal satisfaction or fulfillment, rather than external pressures or rewards.

Extrinsic

Pertaining to external factors or influences, often referring to motivation that comes from outside an individual, such as rewards or punishments.