Question

2tan30° ÷ 1+tan² 30°​

Answer 1

Answer:

$\frac{2 \sqrt{3} + 1 }{3}$

Step-by-step explanation:

$2 \tan {30}^{0} \div 1 + {tan}^{2} {30}^{0} \\ = (2 \times \frac{1}{ \sqrt{3} } \div 1) + ({ \frac{1}{ \sqrt{3} }})^{2} = \frac{2}{ \sqrt{3} } + \frac{1}{3} \\ = \frac{2 \sqrt{3 } + 1}{3}$