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Use of Trigonometric Table

Evaluate : 2...

Question

Evaluate :
$\frac{2 t a n 30^{o}}{1 - t a n^{2} 30^{o}}$

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Solution

$\frac{2 tan 30 °}{1 - {tan}^{2} 30 °}$
${tan}^{2} A = \frac{2 tan 30 °}{1 - {tan}^{2} 30 °}$
$= tan (2 \times 30 °)$
$= tan 60 °$
$= \sqrt{3}$

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