Tan70°=tan20°+2tan50°

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Keshav Bindal 7 years, 4 months ago
As we all know,
tan70°=tan(20+50)°
tan70°=(tan20°+tan50°)/1-tan20°tan50°
tan70°-tan20°tan50°tan70°=tan20°+tan50°
Also
tan70°tan20°=tan70°cot70°=1
Hence
tan70°-tan50°=tan20°+tan50°
So tan70°=tan20°+2tan50°
2Thank You