Question

2tan30°/1+tan^230°=? Plzz solve this

Answer 1

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Here is ur answer mate

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

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Answer 2

Solution :-

[ => 2 tan30° / (1 + tan²30°)

=> Sin (2 * 30°)

=> Sin60°

=> √3/2