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Solve the Equation (X in Radians and θ in Degrees) 4tan⁡θ21−tan⁡2θ=1\frac { 4 \tan \theta } { 21 - \tan ^ { 2 } \theta } = 1

Question 129

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.
- 4tan⁡θ21−tan⁡2θ=1\frac { 4 \tan \theta } { 21 - \tan ^ { 2 } \theta } = 1


A) {71.6∘+360∘n,98.1∘+360∘n}\left\{ 71.6 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 98.1 ^ { \circ } + 360 ^ { \circ } \mathrm { n } \right\}
B) {0∘+180∘n,71.6∘+180∘n,98.1∘+180∘n}\left\{ 0 ^ { \circ } + 180 ^ { \circ } \mathrm { n } , 71.6 ^ { \circ } + 180 ^ { \circ } \mathrm { n } , 98.1 ^ { \circ } + 180 ^ { \circ } \mathrm { n } \right\}
C) {71.6∘+180∘n,98.1∘+180∘n}\left\{ 71.6 ^ { \circ } + 180 ^ { \circ } \mathrm { n } , 98.1 ^ { \circ } + 180 ^ { \circ } \mathrm { n } \right\}
D) ∅\varnothing

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