Verify That Each Equation Is an Identity $$\cot ^ { 2 } x = ( \csc x - 1 ) ( \csc x + 1 )$$

question 355

Essay

Verify that each equation is an identity.
- $$\cot ^ { 2 } x = ( \csc x - 1 ) ( \csc x + 1 )$$

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Definitions:

Big Five Model

A psychological theory that describes human personality through five broad dimensions: openness, conscientiousness, extraversion, agreeableness, and neuroticism.

Brain

is the central organ of the human nervous system, responsible for processing sensory information, and controlling and coordinating voluntary and involuntary actions.

Hardy Personality

characterizes individuals who exhibit resilience and a stronger ability to cope with stress and adversity, viewing challenges as opportunities for growth.

Temperament

The aspect of an individual's personality concerning their natural predisposition towards patterns of mood, activity, and emotional response.