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Find (tan20°+tan10°)/(1-tan20°tan10°)=?

 Jun 27, 2020
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There is a trig identity    tan (a+b) =   (tan a + tanb )/(1- tan a tan b)

 

so this equals     tan (20 + 10) = tan30 = sin 30 / cos 30 =  1/2 / sqrt3/2 = 1/sqrt3 = sqrt3/3

 Jun 27, 2020

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