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})

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

sin (\frac{2 π}{5})

- sin (3 0^{\circ})

e^{0} cos (0)

arccos (cos (\frac{11 π}{6}))

arcsin (\frac{2}{5})