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Solve the Multi-Angle Equation Below sin(2x)=32\sin ( 2 x ) = \frac { \sqrt { 3 } } { 2 }

Question 4

Multiple Choice

Solve the multi-angle equation below.
sin(2x) =32\sin ( 2 x ) = \frac { \sqrt { 3 } } { 2 }


A) π8+nπ,π4+nπ\frac { \pi } { 8 } + n \pi , \frac { \pi } { 4 } + n \pi , where nn is an integer
B) π6+nπ,π4+nπ\frac { \pi } { 6 } + n \pi , \frac { \pi } { 4 } + n \pi , where nn is an integer
C) π6+2nπ,π3+2nπ\frac { \pi } { 6 } + 2 n \pi , \frac { \pi } { 3 } + 2 n \pi , where nn is an integer
D) π8+2nπ,π4+2nπ\frac { \pi } { 8 } + 2 n \pi , \frac { \pi } { 4 } + 2 n \pi , where nn is an integer
E) π6+nπ,π3+nπ\frac { \pi } { 6 } + n \pi , \frac { \pi } { 3 } + n \pi , where nn is an integer

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