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Solve the Equation (X in Radians and θ in Degrees) 2sin⁡2x+sin⁡x=12 \sin ^ { 2 } x + \sin x = 1

Question 369

Multiple Choice

Solve the equation (x in radians and θ in degrees) for all exact solutions where appropriate. Round approximate answers in radians to four decimal places and approximate answers in degrees to the nearest tenth.
- 2sin⁡2x+sin⁡x=12 \sin ^ { 2 } x + \sin x = 1


A) {π2+2nπ,5π6+2nπ,3π2+2nπ}\left\{ \frac { \pi } { 2 } + 2 n \pi , \frac { 5 \pi } { 6 } + 2 n \pi , \frac { 3 \pi } { 2 } + 2 n \pi \right\}
B) {π6+2nπ,5π6+2nπ}\left\{ \frac { \pi } { 6 } + 2 n \pi , \frac { 5 \pi } { 6 } + 2 n \pi \right\}
C) {π6+2nπ,3π2+2nπ}\left\{ \frac { \pi } { 6 } + 2 n \pi , \frac { 3 \pi } { 2 } + 2 n \pi \right\}
D) {π6+2nπ,5π6+2nπ,3π2+2nπ}\left\{ \frac { \pi } { 6 } + 2 \mathrm { n } \pi , \frac { 5 \pi } { 6 } + 2 \mathrm { n } \pi , \frac { 3 \pi } { 2 } + 2 \mathrm { n } \pi \right\}

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