Verify That the Equation Is an Identity $$\tan ^ { 2 } \mathrm { u } ( 1 + \cos ( 2 \mathrm { u } ) ) = 1 - \cos ( 2 \mathrm { u } )$$

question 50

Essay

Verify that the equation is an identity.
- $$\tan ^ { 2 } \mathrm { u } ( 1 + \cos ( 2 \mathrm { u } ) ) = 1 - \cos ( 2 \mathrm { u } )$$

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Definitions:

Obsessive-compulsive

Pertaining to a disorder characterized by intrusive thoughts (obsessions) and repetitive behaviors (compulsions) as a response to these thoughts.

Antisocial

Exhibiting behaviors that violate social norms and can negatively affect others, often associated with a lack of consideration or concern for the well-being of others.

Borderline

Often referring to Borderline Personality Disorder, a mental health condition characterized by mood swings, unstable relationships, self-image issues, and impulsive behavior.

Schizotypal

A personality disorder characterized by severe social anxiety, thought disorder, paranoid ideation, derealization, transient psychosis, and often unconventional beliefs.