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

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

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cot(2/3 pi)

cot (\frac{2}{3} π)

- \frac{3}{3}

Decimal Notation

- 0.57735 \dots

Solution steps

cot (\frac{2}{3} π)

Simplify:

\frac{2}{3} π = \frac{2 π}{3}

\frac{2}{3} π

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 π}{3}

= 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}

tan (arctan (\frac{π}{4}))

\frac{1}{sec ^{2} ( 0 + 0 )} - 1

arccos (\frac{70}{100}) \cdot 2

arctan (2.031)

sin (arccos (\frac{3}{8}))