Prove the Identity $(1+\cot x)^{2}=\frac{1+2 \sin x \cos x}{\sin ^{2} x}$

question 8

Essay

Prove the identity:
$(1+\cot x)^{2}=\frac{1+2 \sin x \cos x}{\sin ^{2} x}$

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Definitions:

Pollution Abatement

Measures and strategies implemented to reduce, manage, and control environmental pollution.

Marginal Social Cost

The total cost to society of producing an additional unit of a good or service, including private costs and any externalities.

Emissions Control

Regulations and technologies designed to reduce pollution and greenhouse gas emissions from various sources.

Marginal Social Costs

The additional cost incurred by society as a whole from the production of one more unit of a good or service.