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:

Government Agencies

Entities established by a government to perform specific functions or provide services in various sectors such as health, education, and defense.

Rent-seeking Activity

Efforts to increase one's share of existing wealth without creating new wealth, often through lobbying or corruption to secure government interventions.

Government Activity

Actions and operations undertaken by the government to fulfill its various roles, such as providing public services, regulating industries, and ensuring economic stability.

Redistribution Income

The transfer of income and wealth from some individuals to others through a social mechanism such as taxation, charity, welfare, public services, or land reform.