Question

Solve that
2tan30°/1-tan^2 30°​

Answer 1

2tan30°/1-tan^2 30°

= tan ( 2 × 30°)

= tan 60°

= √3

Answer 2

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Question :-

$\frac{2tan30}{1 - tan^2 30}$

solution :-

$\frac{2tan30}{1 - tan^2 30}$

$\frac{tan60}{1 - tan^2 30}$

• $tan 60 = \sqrt 3$
• $tan 30 = \frac{1}{\sqrt 3}$

putting values of the tan 60 and tan 30 in the equation

$\frac{\sqrt 3 }{1 - \frac{1}{\sqrt 3^2}}$

$\frac{\sqrt 3 }{1 - \frac{1}{3}}$

$\frac{\sqrt 3 }{ \frac{3-1}{3}}$

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

$\frac{\sqrt 3 *2}{3}$

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

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