Math, asked by gurpreet6, 1 year ago

show that tan70=2tan50+tan20

Answers

Answered by MVB

5

tan70 = tan(50+20)

We know, tan(A+B) = tanA + tanB/1-tanAtanB

hence , tan70 = tan50 +tan20/1-tan50tan20

tan70 -tan70tan50tan20 = tan50 +tan20

tan70 = tan50 +tan20 +tan70tan20tan50

now , tan70 = tan(90-20) = cot20 ,
so

tan70 = tan50 +tan20 +cot20tan20tan50

tan70 = tan50+tan20 +1/tan20 x tan20 x tan50

tan70 = 2tan50 +tan20

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