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Question

TanX+Tan2X+Tan3X=TanX.Tan2X.Tan3x

Prove this

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Solution

3x = 2x + x

tan 3x = tan (2x+x)

tan 3x=fraction numerator tan 2 x plus tan x over denominator 1 minus tan 2 x. tan x end fraction

tan3x-tan3x tan2x tanx=tan2x+tanx

tan(3x)+tan(2x)+tan(x) = tan(3x).tan(2x).tan(x)


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