Math, asked by milkajames345, 9 months ago

Prove that tan70°=tan20°+2tan50°

Answers

Answered by peraiahtelaprolu

1

Answer:

70=20+50

applying tan on both sides.

tan70=tan(20+50)

applying tan(A+B) formula.

tan70=tan20+tan50/1-tan20tan50

do cross multiplication.

tan70(1-tan20tan50)=tan20+tan50)

tan70-tan70tan20tan50=tan20+tan50

tan70-tan70cot70tan50=tan20+tan50

tan70-tan50=tan20+tan50

tan70=tan20+2tan50

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