Question

If A=30°,verify that:. sin 2A=2 tan A / 1+ tan^2 A​

Answer 1

hope it helps you. best of luck

Answer 2

Step-by-step explanation:

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$if \\ a = 30 \\ verify \\ \sin(2a) = \frac{2 \tan(a) }{1 + { \tan}^{2} ( a)}$

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$\implies \sin(2a) = \frac{2 \tan(a) }{1 + { \tan}^{2}(a) } \\ \\ if \: \: a = 30 \\ \\ \implies \sin(2 \times 30) = \frac{2 \tan(30) }{1 + { \tan}^{2} (30)} \\ \\ \implies \sin(60) = \frac{2 \times \frac{1}{ \sqrt{3} } }{1 + \frac{1}{3} } \\ \\ \implies \frac{ \sqrt{3} }{2} = \frac{ \frac{ \not2}{ \cancel{ \sqrt{ 3} }} }{ \frac{ \not4}{ \not3} } \\ \\ \frac{ \sqrt{3} }{2} = \frac{ \sqrt{3} }{2} \\ \\ verified...$