Question

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$prove \: that \ \ \\ : \tan3x \: \tan2x \: tanx = \tan3x - \tan2x - tanx$
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Answer 1

${ \boxed{\boxed{\begin{array}{cc} \sf \: we \:know \: that \: : \\ \\ \rm \: tan3x = tan(2x + x) \\ \\ \pink{ \boxed{{\begin{array}{cc} \bf \: formula : \\ \\ \bf \: tan(x + y) = \frac{tan \: x + tan \: y}{1 - tan \: x \: tan \: y} \end{array}}}} \\ \\ \rm \implies \: tan \: 3x= \frac{tan \: 2x + tan \: x}{1 - tan \: 2x.tan \: x} \\ \\ \rm \implies \: \: tan \: 3x - tan2x \:. tanx.tan 3x = tan2x + tan \: x \\ \\ \small{ \rm \implies \:tan3x - tan2x - tanx = tan3x.tan2x.tanx}\end{array}}}}$

Hence, L.H.S=R.H.S _______(Proved).

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Answer 2

The main terms of the Versailles Treaty were: (1) The surrender of all German colonies as League of Nations mandates. (2) The return of Alsace-Lorraine to France. (3) Cession of Eupen-Malmedy to Belgium, Memel to Lithuania, the Hultschin district to Czechoslovakia.

Step-by-step explanation:

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