Identify the Quadrant for the Angle Satisfying the Following Conditions $\csc \theta$

question 49

Multiple Choice

Identify the quadrant for the angle satisfying the following conditions.
-Find $\csc \theta$ , given that $\sin \theta = - \frac { 2 } { 3 }$ and $\theta$ is in quadrant IV.

• A) \(\frac { 3 \sqrt { 7 } } { 7 }\)
• B) \(- \frac { 3 } { 2 }\)
• C) \(- \frac { \sqrt { 7 } } { 9 }\)
• D) \(\frac { 5 } { 4 }\)

Understand the historical context and significance of statehood for Utah.

Identify and analyze the social dynamics and characteristics within frontier communities of the American West.

Recognize the innovations and adaptations in agriculture and water management in the American West.

Comprehend the necessity and implications of time standardization for various aspects of society.

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Definitions:

Savings

The portion of income not spent on current expenditures or taxes, which is set aside for future use or investment.

Autonomous Consumption

Spending that does not depend on current income levels, such as basic necessities, implying that this consumption occurs even in the absence of income.

Disposable Income

represents the amount of money that households have available for spending and saving after income taxes have been accounted for.

Saving

The portion of income that is not spent on consumption but rather set aside for future use or emergencies, contributing to personal and national wealth.