Use the Fundamental Identities to Find the Value of the Trigonometric

question 189

Multiple Choice

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

• A) \(- \frac { 4 \sqrt { 33 } } { 33 }\)
• B) \(\frac { \sqrt { 33 } } { 4 }\)
• C) \(- \frac { \sqrt { 33 } } { 7 }\)
• D) \(- \frac { 7 \sqrt { 33 } } { 33 }\)

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Definitions:

Scarcity

A fundamental economic problem of having seemingly unlimited human wants in a world of limited resources, leading to the necessity of prioritizing resource allocation.

Production Possibility Curve

A graphical representation showing the maximum combination of goods and services that can be produced in a given period with available resources.

Opportunity Cost

The expense incurred by not choosing the second-best option when making a decision.

Scarcity

The basic economic issue arises from endless human desires and needs in a context of scarce resources.