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

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

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cot(-pi/3)

cot (- \frac{π}{3})

- \frac{3}{3}

Decimal Notation

- 0.57735 \dots

Solution steps

cot (- \frac{π}{3})

Use the following property:

cot (- x) = - cot (x)

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

= - cot (\frac{π}{3})

Use the following trivial identity:

cot (\frac{π}{3}) = \frac{3}{3}

cot (\frac{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}

arcsin (sin (\frac{4 π}{3}))

sec (\frac{4 π}{3})

tan (2 x) = 3, 0 \leq x < 2 π

cos (0)

tan (arcsin (- \frac{3}{5}))