What is the value of cot((-pi)/6) ?

The value of cot((-pi)/6) is -sqrt(3)

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cot((-pi)/6)

cot (\frac{- π}{6})

- 3

Decimal Notation

- 1.73205 \dots

Solution steps

cot (\frac{- π}{6})

Simplify

= cot (- \frac{π}{6})

Use the following property:

cot (- x) = - cot (x)

cot (- \frac{π}{6}) = - cot (\frac{π}{6})

= - cot (\frac{π}{6})

Use the following trivial identity:

cot (\frac{π}{6}) = 3

cot (\frac{π}{6})

cot (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

= 3

= - 3

\frac{4 0 ^{2} sin ^{2} ( 4 0 ^{\circ} )}{9.81}

sin (\frac{5}{8} π)

(- 1) - arctan (- 1)

cos (30 π)

8 \cdot sin (2 4^{\circ})