Solve the Multiple-Angle Equation in the Interval $[ 0,2 \pi )$

question 57

Multiple Choice

Solve the multiple-angle equation in the interval $[ 0,2 \pi )$ .
$\tan 2 x = - 1$

• A) \(x = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 }\)
• B) \(x = \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \frac { 4 \pi } { 3 } , \frac { 5 \pi } { 3 }\)
• C) \(x = \frac { 3 \pi } { 8 } , \frac { 7 \pi } { 8 } , \frac { 11 \pi } { 8 } , \frac { 15 \pi } { 8 }\)
• D) \(x = \frac { \pi } { 6 } , \frac { 5 \pi } { 6 } , \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }\)
• E) \(x = \frac { \pi } { 6 } , \frac { 5 \pi } { 6 } , \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }\).

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