Use the Fundamental Identities to Simplify the Expression $\tan ( \mathrm { s } - \mathrm { t } )$

question 71

Multiple Choice

Use the fundamental identities to simplify the expression.
-Find $\tan ( \mathrm { s } - \mathrm { t } )$ given that $\cos \mathrm { s } = - \frac { 5 } { 13 }$ , with $\mathrm { s }$ in quadrant II, and $\sin \mathrm { t } = \frac { 8 } { 17 }$ , with $\mathrm { t }$ in quadrant II.

• A) \(- \frac { 220 } { 171 }\)
• B) \(- \frac { 140 } { 171 }\)
• C) \(\frac { 20 } { 3 }\)
• D) \(- \frac { 20 } { 3 }\)

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Definitions:

Oedipus Complex

A psychoanalytic theory from Freud that describes a child's feelings of desire for the opposite-sex parent and jealousy and rivalry with the same-sex parent.

Freudian Stage

Refers to any of the developmental phases in Sigmund Freud's theory of psychosexual development, each characterized by fixation on a different pleasure area of the body.

Phallic

Relating to or resembling a phallus; often used in psychoanalytic theory to describe the stage of psychosexual development focused on the genitals.

Fixated

An intense focus or obsession on a particular object, concept, or person, often to the exclusion of other considerations.