Use the Trigonometric Substitution to Rewrite the Algebraic Expression as a Trigonometric

question 72

Multiple Choice

Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of $\theta$ , where $- \frac { \pi } { 2 } < \theta < \frac { \pi } { 2 }$ .Then find sin $\theta$ and cos $\theta$ .
$3 \sqrt { 3 } = \sqrt { 81 - 9 x ^ { 2 } } , x = 3 \cos \theta$

• A) \(\sin \theta = 3 ; \sin \theta = \frac { \sqrt { 3 } } { 3 } ; \cos \theta = \frac { \sqrt { 6 } } { 3 }\)
• B) \(3 \sin \theta = 3 ; \sin \theta = 0 ; \cos \theta = 1\)
• C) \(\sin \theta = \sqrt { 3 } ; \sin \theta = \frac { \sqrt { 3 } } { 3 } ; \cos \theta = \frac { \sqrt { 6 } } { 3 }\)
• D) \(9 \sin \theta = 3 \sqrt { 3 } ; \sin \theta = \frac { \sqrt { 3 } } { 3 } ; \cos \theta = \frac { \sqrt { 6 } } { 3 }\)
• E) \(3 \cos \theta = 3 ; \sin \theta = 1 ; \cos \theta = 0\)

Examine the challenges and conflicts arising from organizational roles and expectations.

Comprehend the characteristics and outcomes of highly cohesive groups.

Understand the implications of self-managed work teams on organizational roles, cohesiveness, and performance.

Understand the universality and cultural specificity of nonverbal communication.

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Definitions:

Abstract Pattern

A concept or idea that lacks physical form, representing a complex set of relationships or processes in a simplified or theoretical way.

Perceptual Patterns

The regular and predictable ways in which people perceive the world around them, often influenced by culture, experience, and psychological factors.

Pattern

A repeated decorative design or a regularly occurring sequence of events, behaviors, or characteristics in a particular context.

Collection

The act of gathering items or data together from different sources or the group of items that has been gathered.