Find the Exact Value of Each Expression, If It Is $\cos ^ { - 1 } ( - \sqrt { 2 } / 2 )$

question 8

Essay

Find the exact value of each expression, if it is defined.
(a) $\cos ^ { - 1 } ( - \sqrt { 2 } / 2 )$
(b) $\sin ^ { - 1 } ( - \sqrt { 2 } / 2 )$
(c) $\tan ^ { - 1 } ( - \sqrt { 3 } )$

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Definitions:

Behavioral Aspects

Refers to the observable actions and reactions of organisms, often studied in psychology to understand how individuals interact with their environment and others.

Excessive Worrying

A state where an individual experiences persistent and uncontrollable concern or fear about everyday situations, leading to significant distress or impairment.

Disordered Behavior

Actions or patterns of behavior that deviate significantly from societal norms or expectations, often indicative of a psychological disorder.

Behaviorists

Behaviorists are psychologists who focus on observable behaviors and the ways in which learning influences behavior, often disregarding mental processes.