Suppose That $\theta$ Is in Standard Position and the Given Point Is on Point

question 25

Multiple Choice

Suppose that $\theta$ is in standard position and the given point is on the terminal side of $\theta$ . Give the exact value of the indicated trig function for $\theta$ . Rationalize the denominator if necessary. If the function is undefined, say so.
- $( - 4,7 )$ ; find $\cos \theta$

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

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Definitions:

Pessimistic Attitude

A tendency to focus on the negatives and expect unfavorable outcomes, often affecting an individual's mood and behavior.

Successful Agers

Successful agers refers to individuals who maintain physical health, cognitive function, and active engagement with life as they grow older, often studied in gerontology for insights into aging well.

Ego

In psychoanalytic theory, the part of the personality that mediates between the demands of the id, superego, and reality, playing a key role in problem-solving and reality-testing.

Similarity

The state of being alike or sharing common features, often used to describe comparisons between objects, ideas, or individuals.