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Popular Functions >

y=5cot(3x+pi/2)

Solution

y = 5 cot (3 x + \frac{π}{2})

Solution

Period : \frac{π}{3}

Domain : \frac{π}{3} n \leq x < \frac{π}{6} + \frac{π}{3} n or \frac{π}{6} + \frac{π}{3} n < x < \frac{π}{3} + \frac{π}{3} n

Range : - \infty < f (x) < \infty

X Intercepts : (\frac{πn}{3}, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = \frac{π}{6} + \frac{π}{3} n

Extreme Points : None

+1

Interval Notation

Domain : [\frac{π}{3} n, \frac{π}{6} + \frac{π}{3} n) \cup (\frac{π}{6} + \frac{π}{3} n, \frac{π}{3} + \frac{π}{3} n)

Range : (- \infty, \infty)

Solution steps

Periodicity of

5 cot (3 x + \frac{π}{2}) : \frac{π}{3}

Domain of

5 cot (3 x + \frac{π}{2}) : \frac{π}{3} n \leq x < \frac{π}{6} + \frac{π}{3} n or \frac{π}{6} + \frac{π}{3} n < x < \frac{π}{3} + \frac{π}{3} n

Range of

5 cot (3 x + \frac{π}{2}) : - \infty < f (x) < \infty

Axis interception points of

5 cot (3 x + \frac{π}{2}) :

X Intercepts

: (\frac{πn}{3}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

5 cot (3 x + \frac{π}{2}) :

Vertical

: x = \frac{π}{6} + \frac{π}{3} n

Extreme Points of

5 cot (3 x + \frac{π}{2}) :

None

Graph

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Frequently Asked Questions (FAQ)

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