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:

Positivist Theory

A theoretical approach in sociology and criminology that posits that human behavior, including criminality, can be studied and understood through scientific principles and methods.

Control Theory

a theory in sociology that suggests people's relationships, commitments, values, and beliefs encourage them not to break the law.

Animalistic Impulses

Innate, primitive behaviors or urges that are driven by basic physiological or survival needs.

Merton's Theory

A sociological perspective that elaborates on the causes of deviant behavior, focusing on the disparity between societal goals and the means to achieve them; synonymous with Anomie-Strain Theory but with a specific focus on the work of Robert K. Merton.