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

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.
- $4 \csc ^ { 2 } \theta = 5 \csc \theta$

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

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