Solve the Equation for X, Where X Is Restricted to the Given

question 264

Multiple Choice

Solve the equation for x, where x is restricted to the given interval.
- $y = 3 \tan 2 x - 1$ , for $x$ in $\left( - \frac { \pi } { 4 } , \frac { \pi } { 4 } \right)$

• A) \(x = \frac { 1 } { 2 } \arctan \frac { y + 1 } { 3 }\)
• B) \(x = 2 \arctan \frac { y + 1 } { 3 }\)
• C) \(x = \frac { 1 } { 2 } \arctan ( 3 y + 3 )\)
• D) \(x = 2 \arctan ( 3 y + 3 )\)

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Definitions:

Western Conceptions

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Karl Marx

A 19th-century philosopher, economist, and revolutionary socialist known for his critique of capitalism and development of historical materialism.

Opium of the People

A term coined by Karl Marx, referring to religion as something that provides comfort to the oppressed masses with an illusion of happiness, pacifying them and detracting from actual worldly sufferings.

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