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 Why is tan 60 degrees = Radical 3?

 Mar 3, 2019
 #1
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In a 30- 60 - 90 right triangle, let the side opposite the 30° angle = 1

Then the side opposite the 90° will be twice as long = 2

Then the side opposite the 60°  angle =  sqrt (2^2 - 1^2 } = sqrt (3)

 

So  the tangent of 60° =  opposite side / adjacent side   =  sqt(3) / 1 = sqrt (3)

 

 

cool cool cool

 Mar 3, 2019

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