What is the value of cot((-pi)/4) ?

The value of cot((-pi)/4) is -1

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cot((-pi)/4)

cot (\frac{- π}{4})

- 1

Solution steps

cot (\frac{- π}{4})

Simplify

= cot (- \frac{π}{4})

Use the following property:

cot (- x) = - cot (x)

cot (- \frac{π}{4}) = - cot (\frac{π}{4})

= - cot (\frac{π}{4})

Use the following trivial identity:

cot (\frac{π}{4}) = 1

cot (\frac{π}{4})

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

= 1

= - 1

cos (90 0^{\circ})

sin (8 3^{\circ})

sin (2) (60)

\frac{sin ( π )}{6}

\frac{sin ( π )}{3}