Determine Which of the Following Are Trigonometric Identities $\frac { \sin ( t ) + \sin ( s ) } { \cos ( t ) - \cos ( s ) } + \frac { \cos ( t ) + \cos ( s ) } { \sin ( t ) - \sin ( s ) } = 0$

question 51

Multiple Choice

Determine which of the following are trigonometric identities.
I. $\frac { \sin ( t ) + \sin ( s ) } { \cos ( t ) - \cos ( s ) } + \frac { \cos ( t ) + \cos ( s ) } { \sin ( t ) - \sin ( s ) } = 0$
II. $\frac { \sin ( \mathrm { t } ) + \sin ( \mathrm { s } ) } { \cos ( \mathrm { t } ) + \cos ( \mathrm { s } ) } + \frac { \cos ( \mathrm { t } ) + \cos ( \mathrm { s } ) } { \sin ( \mathrm { t } ) + \sin ( \mathrm { s } ) } = 1$
III. $\frac { \sin ( \mathrm { t } ) + \cos ( \mathrm { s } ) } { \sin ( \mathrm { t } ) \cos ( \mathrm { s } ) } = \sin ( \mathrm { s } ) + \cos ( \mathrm { t } )$

• A) I is the only identity.
• B) I and III are the only identities.
• C) II and II are the only identities.
• D) I and II are the only identities.
• E) I, II, and III are identities.

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Definitions:

Autonomy Versus Shame

A stage in Erik Erickson's theory of psychosocial development where toddlers learn to exercise will and do things for themselves or they doubt their abilities.

Industry Versus Inferiority

A stage in Erik Erikson's theory of psychosocial development where children develop a sense of competence and ability when they successfully manage new skills and tasks.

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This developmental stage, characterized by Erik Erikson's psychosocial theory, involves young children starting to assert control and power over their environment, leading to a sense of purpose or feelings of guilt over their actions.

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Autonomy versus shame is a stage in Erik Erikson's theory of psychosocial development where toddlers strive for independence and self-control, facing either a sense of autonomy or feelings of shame and doubt.