Question

Without using tables verify that: Sin 60°=2tan30°/1+tan²30°=√3/2​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Answer:

$rhs = \frac{2 \: tan30}{1 + tan {}^{2} \: 30} = \frac{1 \times \frac{1}{ \sqrt{3} } }{1 + ( \frac{1}{ \sqrt{3} {}^{2} } )} \\ = \sin(60) = \frac{2 \: tan30}{1 + tan {}^{2} \: 30 } = \frac{ \sqrt{3} }{2} .$