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 property:

cot (- x) = - cot (x)

cot (- \frac{2 π}{3}) = - cot (\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})

Simplify

= \frac{3}{3}

cos (18 0^{\circ})

tan (\frac{π}{2})

sin (- \frac{π}{4})

tan (\frac{π}{3})

arcsin (0.5)