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What is cot 75 degrees?

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Jun 6, 2015

Use the trig identity: $tan (a + b) = (tan a+ tan b)/(1 - tan a.tan b)$

$tan 30 = sqrt3/3$ ; tan 45 = 1

$tan 75 = tan (30 + 45) = (3 + sqrt3)/3.(3)/(3 - sqrt3) = (3 + sqrt3)/(3 - sqrt3)$

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