SOLUTION: Evaluate tan(45-30)

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Question 1004951: Evaluate tan(45-30)
Answer by Alan3354(69443) About Me  (Show Source):
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Evaluate tan(45-30)
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tan(A-B) = (tan(A) - tan(B))/(1 + tan(A)*tan(B))
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tan(45-30) = (1 - sqrt(3)/3)/(1 + 1*sqrt(3)/3)
= (3 - sqrt(3))/(3 + sqrt(3))
= (3 - sqrt(3))^2/6
= (9 - 6sqrt(3) + 3)/6
= 2 - sqrt(3)