Prove the Identity $$\cot ^ { 2 } x + \csc ^ { 2 } x = 2 \csc ^ { 2 } x - 1$$

question 182

Essay

Prove the identity.
- $$\cot ^ { 2 } x + \csc ^ { 2 } x = 2 \csc ^ { 2 } x - 1$$

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Definitions:

Induced Consumption

Spending induced by changes in the level of income.

Autonomous Consumption

The minimum amount that people will spend on the necessities of life.

Income

The financial gain or money received by an individual or a business from various sources like work, investments, or transfers, during a specific period.

Consumption

The act of using goods and services for personal needs or to satisfy consumer desires.