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

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

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cot((-5pi)/6)

cot (\frac{- 5 π}{6})

3

Decimal Notation

1.73205 \dots

Solution steps

cot (\frac{- 5 π}{6})

Simplify

= cot (- \frac{5 π}{6})

Use the following property:

cot (- x) = - cot (x)

cot (- \frac{5 π}{6}) = - cot (\frac{5 π}{6})

= - 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)

Simplify

= 3

arcsin (- \frac{1}{2}) + arccos (1)

sin^{4} (\frac{π}{2})

arccos (0.1)

csc (\frac{8 π}{3})

cot (\frac{9 π}{4})

What is the value of cot((-5pi)/6) ?
The value of cot((-5pi)/6) is square root of 3