SOLUTION: what is the exact value of Tan(105 degrees)

Question 669252: what is the exact value of Tan(105 degrees)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
what is the exact value of Tan(105 degrees)
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tan(A+B) = (tanA + tanB)/(1 - tanA*tanB)
tan(105) = tan(45 + 60)
= (1 + sqrt(3))/(1 - sqrt(3))
= (1 + sqrt(3))^2/(-2)
= (1 + 3 + 2sqrt(3))/-2
= -2 - sqrt(3)

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