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Solve the Equation (X in Radians And θ\boldsymbol { \theta }

Question 40

Multiple Choice

Solve the equation (x in radians and θ\boldsymbol { \theta } 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.
- 4tanθ12tan2θ=1\frac { 4 \tan \theta } { 12 - \tan ^ { 2 } \theta } = 1


A) {0+180n,63.4+180n,99.5+180n}\left\{ 0 ^ { \circ } + 180 ^ { \circ } \mathrm { n } , 63.4 ^ { \circ } + 180 ^ { \circ } \mathrm { n } , 99.5 ^ { \circ } + 180 ^ { \circ } \mathrm { n } \right\}
B) \varnothing
C) {63.4+360n,99.5+360n}\left\{ 63.4 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 99.5 ^ { \circ } + 360 ^ { \circ } \mathrm { n } \right\}
D) {63.4+180n,99.5+180n}\left\{ 63.4 ^ { \circ } + 180 ^ { \circ } \mathrm { n } , 99.5 ^ { \circ } + 180 ^ { \circ } \mathrm { n } \right\}

Correct Answer:

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