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

Question 71

Multiple Choice

Solve the multiple-angle equation in the interval [0,2π) [ 0,2 \pi ) .
sec2x=2\sec 2 x = 2


A)
x=π8,7π8,9π8,15π8x = \frac { \pi } { 8 } , \frac { 7 \pi } { 8 } , \frac { 9 \pi } { 8 } , \frac { 15 \pi } { 8 }
B) x=π12,5π12,13π12,17π12\quad x = \frac { \pi } { 12 } , \frac { 5 \pi } { 12 } , \frac { 13 \pi } { 12 } , \frac { 17 \pi } { 12 }
C) x=π6,5π6,7π6,11π6x = \frac { \pi } { 6 } , \frac { 5 \pi } { 6 } , \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }
D) x=π4,3π4,5π4,7π4x = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 }
E) x=π3,2π3,4π3,5π3x = \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \frac { 4 \pi } { 3 } , \frac { 5 \pi } { 3 }

Correct Answer:

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