Question

Evaluate: 2 tan 30 / 1 + tan^30

Answer 1

Step-by-step explanation:

2tan 30 / 1 + tan²30

Sin(2*30)

Sin60

= √3/2

Answer 2

Answer:

$\frac{2 \tan(30) }{1 + \tan{}^{2} 30 } \\ \frac{2 \times \frac{1}{ \sqrt{3} } }{1 + ( \frac{1}{ \sqrt{3} }) {}^{2} } \\ \frac{ \frac{2}{ \sqrt{3} } }{1 + \frac{1}{3} } \\ \frac{ \frac{2}{ \sqrt{3} } }{ \frac{4}{3} } \\ \frac{2}{ \sqrt{3} } \times \frac{3}{4} \\ \frac{ \sqrt{3} }{2}$

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