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

question 40

Multiple Choice

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

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

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