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

Question 55

Multiple Choice

Find all solutions of the following equation on the interval [0,2π) [ 0,2 \pi ) .
csc2(x) 2=0\csc ^ { 2 } ( x ) - 2 = 0


A) π4,3π4\frac { \pi } { 4 } , \frac { 3 \pi } { 4 }
B) π4,3π4,5π4,7π4\frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 }
C) π4,7π4\frac { \pi } { 4 } , \frac { 7 \pi } { 4 }
D) 5π4,7π4\frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 }
E) 3π4,5π4\frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 }

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