Find the Exact Value of Each Expression, If It Is $\cos ^ { - 1 } \left( \frac { \sqrt { 3 } } { 2 } \right)$

question 63

Essay

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

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Definitions:

Pork-Barrel Politics

The allocation of government spending for localized projects secured primarily to bring money to a representative's district, with the implication of gaining the representative favor or votes.

Rent-Seeking Behavior

denotes efforts to increase one's share of existing wealth without creating new wealth, often through manipulation or exploitation of the political environment.

Principal-Agent Problem

A dilemma in which an agent, acting on behalf of a principal, may have incentives to act in their own interest rather than in the best interest of the principal.