How do you simplify tan (-5pi / 6) - cot (7pi / 2) ?

1 Answer
Nghi N.
Nov 20, 2015

Simplify trig expression.

Ans: sqrt3/3

Explanation:

tan (-5pi)/6 = tan (pi/6 - (6pi)/6) = tan (pi/6 - pi) = tan (pi/6) =
= sqrt3/3.
cot ((7pi)/2) = cot ((3pi)/2 + 2pi) = cot ((3pi)/2) = 0, then
tan ((-5pi)/6) - cot ((7pi)/2) = sqrt3 - 0 = sqrt3/3

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