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11) Show that tan 3x tan 2x tan xtan 3x-tan 2x-tan x.

Answer»

From 3x = 2x + x

Applying tan on both sides..

tan3x = tan (2x+x)

tan3x = (tan2x+tanx)/1-tan2x tanx

(1-tan2x tanx)tan3x = tan2x+tanx

tan3x - tanx tan2x tan3x = tan2x+tanx

tanx tan2x tan3x = tan3x-tan2x-tanx

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