What is the value of -cot((2pi)/3) ?

The value of -cot((2pi)/3) is (sqrt(3))/3

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-cot((2pi)/3)

- cot (\frac{2 π}{3})

\frac{3}{3}

Decimal Notation

0.57735 \dots

Solution steps

- cot (\frac{2 π}{3})

Use the following trivial identity:

cot (\frac{2 π}{3}) = - \frac{3}{3}

cot (\frac{2 π}{3})

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

= - \frac{3}{3}

= - (- \frac{3}{3})

Simplify

= \frac{3}{3}

- cot (π)

- cos (- \frac{π}{4})

2 sin (\frac{3}{5}) cos (\frac{4}{5})

arccos (\frac{11}{16})

cos (arcsin (\frac{3}{4}))