What is the value of cot(-120) ?

The value of cot(-120) is (sqrt(3))/3

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cot(-120)

cot (- 12 0^{\circ})

\frac{3}{3}

Decimal Notation

0.57735 \dots

Solution steps

cot (- 12 0^{\circ})

Use the following property:

cot (- x) = - cot (x)

cot (- 12 0^{\circ}) = - cot (12 0^{\circ})

= - cot (12 0^{\circ})

Use the following trivial identity:

cot (12 0^{\circ}) = - \frac{3}{3}

cot (12 0^{\circ})

cot (x)

periodicity table with

18 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

= - \frac{3}{3}

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

Simplify

= \frac{3}{3}

\frac{sin ( 1 )}{1}

sin (arctan (- 3))

sin (\frac{5}{13})

arctan (tan (\frac{4 π}{5}))

arccos (cos (\frac{15 π}{4}))