Establish the Identity $$\cot ^ { 3 } x = \cot x \left( \csc ^ { 2 } x - 1 \right)$$

question 166

Essay

Establish the identity.
- $$\cot ^ { 3 } x = \cot x \left( \csc ^ { 2 } x - 1 \right)$$

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Definitions:

Economic Profit

The financial measurement between a company's aggregate earnings and its total costs, covering both explicit and hidden charges.

Output Level

The quantity of goods or services produced by a firm or economy in a certain period.

Nondiscriminating

A principle or practice that ensures equal treatment and opportunities for all, without biases or prejudices based on irrelevant characteristics.

Pure Monopolist

A single seller in a market with no close substitutes for its product, dictating the market terms and prices.