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Question

prove that tan70°=tan20°+2tan50°


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Solution

To prove: tan70°=tan20°+2tan50°

Take:

tan70=tan(20+50)tan(A+B)=(tanA+tanB)1tanAtanBtan70=(tan20+tan50)1tan20tan50tan70(1tan20tan50)=tan20+tan50tan70tan70tan20tan50=tan20+tan50tan70tan50=tan20+tan50(tan70tan20=1)tan70=tan20+2tan50

Hence proved.


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