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Popular >

f(x)=-cot(x)csc(x)

Solution

f (x) = - cot (x) csc (x)

Solution

Period : 2 π

Domain : 2 πn < x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

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

X Intercepts : (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0)

Asymptotes : Vertical x = 2 πn, x = π + 2 πn

Extreme Points : None

+1

Interval Notation

Domain : (2 πn, π + 2 πn) \cup (π + 2 πn, 2 π + 2 πn)

Range : (- \infty, \infty)

Solution steps

Periodicity of

- cot (x) csc (x) : 2 π

Domain of

- cot (x) csc (x) : 2 πn < x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

Range of

- cot (x) csc (x) : - \infty < f (x) < \infty

Axis interception points of

- cot (x) csc (x) :

X Intercepts

: (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0)

Asymptotes of

- cot (x) csc (x) :

Vertical

: x = 2 πn, x = π + 2 πn

Extreme Points of

- cot (x) csc (x) :

None

Popular Examples

f(x)=(3x)/(x-6)

f (x) = \frac{3 x}{x - 6}

f(x)=sin^2(x^3)

f (x) = sin^{2} (x^{3})

y=132-140x+25x^2

y = 132 - 140 x + 25 x^{2}

f(x)=log_{2x}(x)

f (x) = lo g_{2 x} (x)

f(x)=2cos(4x-pi)

f (x) = 2 cos (4 x - π)

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