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

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.
- $\frac { 4 \tan \theta } { 21 - \tan ^ { 2 } \theta } = 1$

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

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