Verify That the Equation Is an Identity $$\frac { \sin ( \alpha - \beta ) } { \sin \alpha \sin \beta } = \cot \beta - \cot \alpha$$

question 92

Essay

Verify that the equation is an identity.
- $$\frac { \sin ( \alpha - \beta ) } { \sin \alpha \sin \beta } = \cot \beta - \cot \alpha$$

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Definitions:

Average Cost

The total cost divided by the number of goods produced, reflecting the cost per unit of output.

Cost Function

A mathematical relationship that describes how production costs change with variations in the quantity of output produced.

Competitive Firm

A company that operates in a market with many buyers and sellers, where no single entity has the power to dictate prices for goods and services.

Production Function

An economic model that describes the relationship between input resources and the output of goods for a specific period.