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Find All Solutions of the Following Equation in the Interval [0,2π)[ 0,2 \pi )

Question 27

Multiple Choice

Find all solutions of the following equation in the interval [0,2π) [ 0,2 \pi ) .
2cosxsecx=02 \cos x - \sec x = 0


A) x=π4,3π4,5π4,7π4x = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 }
B) x=π6,5π6,7π6,11π6x = \frac { \pi } { 6 } , \frac { 5 \pi } { 6 } , \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }
C) x=π3,2π3,4π3,5π3x = \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \frac { 4 \pi } { 3 } , \frac { 5 \pi } { 3 }
D) x=0,π2,π,3π2x = 0 , \frac { \pi } { 2 } , \pi , \frac { 3 \pi } { 2 }
E) x=π3,3π4,3π2,7π6x = \frac { \pi } { 3 } , \frac { 3 \pi } { 4 } , \frac { 3 \pi } { 2 } , \frac { 7 \pi } { 6 }

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