Question

2 tan 30°/1- tan² 30°=?​

Answer 1

$\frac{2 \tan(30) }{1 - { \tan(30) }^{2} }$

We Know that Tan(30)= 1/√3

So,

we will substitute the value Of Tan(30) in the given equation

$= > \frac{2 \times \frac{1}{ \sqrt{3} } }{1 - { (\frac{1}{ \sqrt{3} }) }^{2} }$

$= > \frac{ \frac{2}{ \sqrt{3} } }{1 - \frac{1}{3} }$

$= > \frac{ \frac{2}{ \sqrt{3} } }{ \frac{3 - 1}{3} }$

$= > \frac{2 \times 3}{2 \times \sqrt{3} }$

$= > \frac{3}{ \sqrt{3} }$

$= > \frac{3}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} }$

$= > \frac{3 \times \sqrt{3} }{3}$

$= > \sqrt{3}$

Answer 2

Step-by-step explanation:

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