What is the value of cot(-(3pi)/4) ?

The value of cot(-(3pi)/4) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cot(-(3pi)/4)

cot (- \frac{3 π}{4})

1

Solution steps

cot (- \frac{3 π}{4})

Use the following property:

cot (- x) = - cot (x)

cot (- \frac{3 π}{4}) = - cot (\frac{3 π}{4})

= - cot (\frac{3 π}{4})

Use the following trivial identity:

cot (\frac{3 π}{4}) = - 1

cot (\frac{3 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)

Simplify

= 1

cos (2) (0)

arctan (\frac{7}{4})

tan (arccos (\frac{1}{2}))

sin (5 8^{\circ})

cos (- 3 π)