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Solve the Following Equation (3tan⁡2x−3)(tan⁡2x−3)=0\left( 3 \tan ^ { 2 } x - 3 \right) \left( \tan ^ { 2 } x - 3 \right) = 0

Question 52

Multiple Choice

Solve the following equation.​ (3tan⁡2x−3) (tan⁡2x−3) =0\left( 3 \tan ^ { 2 } x - 3 \right) \left( \tan ^ { 2 } x - 3 \right) = 0 ​


A) ​ π4+nπ,π2+nπ,π6+nπ,5π6+nπ\frac { \pi } { 4 } + n \pi , \frac { \pi } { 2 } + n \pi , \frac { \pi } { 6 } + n \pi , \frac { 5 \pi } { 6 } + n \pi
B) ​ π2+nπ,2π5+nπ,π6+nπ,5π6+nπ\frac { \pi } { 2 } + n \pi , \frac { 2 \pi } { 5 } + n \pi , \frac { \pi } { 6 } + n \pi , \frac { 5 \pi } { 6 } + n \pi
C) ​ 5π3+nπ,2π3+nπ,π6+nπ,5π6+nπ\frac { 5 \pi } { 3 } + n \pi , \frac { 2 \pi } { 3 } + n \pi , \frac { \pi } { 6 } + n \pi , \frac { 5 \pi } { 6 } + n \pi
D) ​ π4+nπ,5π4+nπ,π3+nπ,2π3+nπ\frac { \pi } { 4 } + n \pi , \frac { 5 \pi } { 4 } + n \pi , \frac { \pi } { 3 } + n \pi , \frac { 2 \pi } { 3 } + n \pi
E) ​ π3+nπ,2π3+nπ,π6+nπ,5π6+nπ\frac { \pi } { 3 } + n \pi , \frac { 2 \pi } { 3 } + n \pi , \frac { \pi } { 6 } + n \pi , \frac { 5 \pi } { 6 } + n \pi

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