Find an Algebraic Expression Equivalent to the Given Expression $\sin ( \operatorname { arcsec } u )$

question 409

Multiple Choice

Find an algebraic expression equivalent to the given expression.
- $\sin ( \operatorname { arcsec } u )$

• A) \(\frac { \mathrm { u } \sqrt { \mathrm { u } ^ { 2 } + 1 } } { \mathrm { u } 2 + 1 }\)
• B) \(\frac { \sqrt { u ^ { 2 } - 1 } } { u }\)
• C) \(\sqrt { \mathrm { u } ^ { 2 } - 1 }\)
• D) \(\sqrt { \mathrm { u } ^ { 2 } + 1 }\)

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Definitions:

Gestalt

A theory that proposes objects are viewed holistically, emphasizing the whole is greater than the sum of its parts.

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Pertaining to observable actions or responses in humans or animals.

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Pertaining to a psychological theory and therapeutic method developed by Sigmund Freud, focusing on unconscious motives and conflicts.

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