Question

tan100+2 tan 70° =
Please give answer quickly​

Answer 1

Answer:

Solution:Tan100°+2Tan70°Tan100°=Tan(90°+10°)=−Cot10°Tan70°=Tan(90°−20°)=Cot20°Cot20°=Cot(10°+10°)Cot10°+Cot10°Cot10°Cot10°−1=2Cot10°Cot210°−1⟹−Cot10°+2(2Cot10°Cot210°−1)⟹−Cot10°+Cot10°Cot210°−Cot10°1⟹−Cot10°+Cot10°−Tan10°−Tan10°

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Answer 2

Answer:

tan (90+10)+2tan (90-20)

-cot (10+2)*cot 20

-cot 10+2cot 20

-1/tan 10+1/tan 20

-1/tan 10+2/2tan 10

-1+1-tan^2 10/tan 10

= -tan 10.

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