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Question

Show that: tan3x.tan2x.tanx=tan3xtan2xtanx.

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Solution

Let us take, tan(3x)=tan(x+2x)

tan(A+B)=tan(A)+tan(B)1tanA.tanB

tan(3x)=tan(x)+tan(2x)1(tan(x)tan(2x))

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

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

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