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

question 47

Multiple Choice

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

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

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