What is the value of cot(-30) ?

The value of cot(-30) is -sqrt(3)

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cot(-30)

cot (- 3 0^{\circ})

- 3

Decimal Notation

- 1.73205 \dots

Solution steps

cot (- 3 0^{\circ})

Use the following property:

cot (- x) = - cot (x)

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

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

Use the following trivial identity:

cot (3 0^{\circ}) = 3

cot (3 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

= 3

= - 3

arccos (\frac{5}{6})

tan (- 19 5^{\circ})

cos^{2} (\frac{1}{2})

sin (- 22. 5^{\circ})

cos (arctan (- 2))