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Popular >

cot((9pi)/2)

Solution

cot (\frac{9 π}{2})

Solution

0

Solution steps

cot (\frac{9 π}{2})

cot (\frac{9 π}{2}) = cot (\frac{π}{2})

cot (\frac{9 π}{2})

Rewrite

\frac{9 π}{2}

as

π \cdot 4 + \frac{π}{2}

= cot (π 4 + \frac{π}{2})

Apply the periodicity of

cot

:

cot (x + π \cdot k) = cot (x)

cot (π \cdot 4 + \frac{π}{2}) = cot (\frac{π}{2})

= cot (\frac{π}{2})

= cot (\frac{π}{2})

Use the following trivial identity:

cot (\frac{π}{2}) = 0

cot (\frac{π}{2})

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

= 0

= 0

Popular Examples

arctan (- \frac{π}{6})

arctan (35)

tan (\frac{13 π}{8})

sin(330)cos(30)-cos(330)sin(30)

sin (33 0^{\circ}) cos (3 0^{\circ}) - cos (33 0^{\circ}) sin (3 0^{\circ})

sin (- \frac{29 π}{6})

Frequently Asked Questions (FAQ)

What is the value of cot((9pi)/2) ?
The value of cot((9pi)/2) is 0