Question

Prove that:
sin (2 x 30°) = 2 tan30°/1+tan² 30°​

Answer 1

Answer:

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LHS

Sin 60 = √3/2

RHS = 2(1/√3) / 1+(1/√3)²

        = 2/√3 / 1+1/3

         = 2/√3 / 3+1/3

         = 2/√3 / 4/3

         = 2/√3*3/4

         = 3/2√3

Rationalise the denominator

3/2√3*√3

3√3/ 6

RHS = √3/2

LHS = RHS

Hence proved

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Step-by-step explanation: