Solve the Equation (X in Radians and θ in Degrees) $3 \cos ^ { 2 } \theta + 2 \cos \theta = 1$

question 159

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.
- $3 \cos ^ { 2 } \theta + 2 \cos \theta = 1$

• A) \(\left\{ 70.5 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 180 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 289.5 ^ { \circ } + 360 ^ { \circ } \mathrm { n } \right\}\)
• B) \(\left\{ 49.8 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 130.2 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 229.8 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 310.2 ^ { \circ } + 360 ^ { \circ } \mathrm { n } \right\}\)
• C) \(\left\{ 51.8 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 128.2 ^ { \circ } + 360 ^ { \circ } \mathrm { n } \right\}\)
• D) \(\left\{ 103.2 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 145.2 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 283.2 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 325.2 ^ { \circ } + 360 ^ { \circ } \mathrm { n } \right\}\)

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