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Solve the Equation (X in Radians and θ in Degrees) 4csc⁡2θ=5csc⁡θ4 \csc ^ { 2 } \theta = 5 \csc \theta

Question 351

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.
- 4csc⁡2θ=5csc⁡θ4 \csc ^ { 2 } \theta = 5 \csc \theta


A) {0∘+360∘n,53.1∘+360∘n,126.9∘+360∘n,180∘+360∘n}\left\{ 0 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 53.1 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 126.9 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 180 ^ { \circ } + 360 ^ { \circ } \mathrm { n } \right\}
B) {0∘+360∘n,53.1∘+360∘n,126.9∘+360∘n,233.1∘+360∘n}\left\{ 0 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 53.1 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 126.9 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 233.1 ^ { \circ } + 360 ^ { \circ } \mathrm { n } \right\}
C)
{53.1∘+360∘n,126.9∘+360∘n}\left\{ 53.1 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 126.9 ^ { \circ } + 360 ^ { \circ } \mathrm { n } \right\}
D)
{0∘+360∘n,53.1∘+360∘n,126.9∘+360∘n}\left\{ 0 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 53.1 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 126.9 ^ { \circ } + 360 ^ { \circ } \mathrm { n } \right\}

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