Question

the value of 2tan 30degree ÷1-tan square 30degree is equal to​

Answer 1

Answer:

√3

Step-by-step explanation:

$2 { \tan30 }^{o} \div 1 - { \ {tan}^{2} 30 }^{o} \\ = > \frac{2 \times \frac{1}{ \sqrt{3} } }{1 - ( { \frac{1}{ \sqrt{3} } )}^{2} } \\ = > \frac{ \frac{2}{ \sqrt{3} } }{1 - \frac{1}{3} } \\ = > \frac{ \frac{2}{ \sqrt{3} } }{ \frac{2}{3} } \\ = > \frac{2 \times 3}{2 \times \sqrt{3} } \\ = > \frac{3}{ \sqrt{3} } \\ = > \sqrt{3}$