What is the value of 3cot((5pi)/6) ?

The value of 3cot((5pi)/6) is -3sqrt(3)

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3cot((5pi)/6)

3 cot (\frac{5 π}{6})

- 33

Decimal Notation

- 5.19615 \dots

Solution steps

3 cot (\frac{5 π}{6})

Use the following trivial identity:

cot (\frac{5 π}{6}) = - 3

cot (\frac{5 π}{6})

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

= - 3

= 3 (- 3)

Simplify

= - 33

sin (25 3^{\circ})

sin^{2} (2 0^{\circ}) - 1

cos (1.18)

arctan (\frac{7}{- 24})

arccos (- \frac{2}{5 5})