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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=3tan⁡2x−1y = 3 \tan 2 x - 1 , for xx in (−π4,π4) \left( - \frac { \pi } { 4 } , \frac { \pi } { 4 } \right)


A) x=12arctan⁡y+13x = \frac { 1 } { 2 } \arctan \frac { y + 1 } { 3 }
B) x=2arctan⁡y+13x = 2 \arctan \frac { y + 1 } { 3 }
C) x=12arctan⁡(3y+3) x = \frac { 1 } { 2 } \arctan ( 3 y + 3 )
D) x=2arctan⁡(3y+3) x = 2 \arctan ( 3 y + 3 )

Correct Answer:

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