What is the value of cot((-11pi)/6) ?

The value of cot((-11pi)/6) is square root of 3

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cot((-11pi)/6)

cot (\frac{- 11 π}{6})

3

Solution steps

cot (\frac{- 11 π}{6})

Simplify

= cot (- \frac{11 π}{6})

Use the following property:

cot (- x) = - cot (x)

cot (- \frac{11 π}{6}) = - cot (\frac{11 π}{6})

= - cot (\frac{11 π}{6})

cot (\frac{11 π}{6}) = cot (\frac{5 π}{6})

= - cot (\frac{5 π}{6})

Use the following trivial identity:

cot (\frac{5 π}{6}) = - 3

= - (- 3)

Simplify

= 3

arccos (\frac{3}{18})

\frac{cos ( 0.01 ) - 1}{0.01}

cos (\frac{5 π}{18}) cos (\frac{2 π}{9}) - sin (\frac{5 π}{18}) sin (\frac{2 π}{9})

arcsin (sin (- \frac{7 π}{6}))

cos (9 8^{\circ})

What is the value of cot((-11pi)/6) ?
The value of cot((-11pi)/6) is square root of 3