Solve the Following Equation $$\csc ^ { 2 } ( x ) - 4 = 0$$

question 7

Multiple Choice

Solve the following equation. $$\csc ^ { 2 } ( x ) - 4 = 0$$

• A) \(\frac { \pi } { 3 } + \pi n , \frac { 2 \pi } { 3 } + \pi n\), where \(n\) is an integer
• B) \(\frac { \pi } { 3 } + 2 \pi n , \frac { 2 \pi } { 3 } + 2 \pi n\), where \(n\) is an integer
• C) \(\frac { \pi } { 6 } + \pi n , \frac { 5 \pi } { 6 } + \pi n\), where \(n\) is an integer
• D) \(\frac { \pi } { 6 } + 2 \pi n , \frac { 2 \pi } { 3 } + 2 \pi n\), where \(n\) is an integer
• E) \(\frac { \pi } { 6 } + 2 \pi n , \frac { 5 \pi } { 6 } + 2 \pi n\), where \(n\) is an integer

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Definitions:

Long-run Elasticities

Measure of responsiveness of demand or supply to changes in price or income, considered over a period long enough for all adjustments to be made.

Short-run Elasticities

Measures of how responsive the quantity demanded or supplied of a good is to a price change over a short period.

Plant Size

The scale or capacity of a factory or production facility, which can influence its efficiency and ability to meet demand.

Elastic Demand

Refers to a situation where the quantity demanded of a good or service changes drastically in response to changes in its price.