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Popular >

f(x)=cos^3(x)csc(x)

Solution

f (x) = cos^{3} (x) csc (x)

Solution

Period : π

Domain : πn < x < π + πn

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

X Intercepts : (\frac{π}{2} + πn, 0)

Asymptotes : Vertical x = πn

Extreme Points : Saddle (\frac{π}{2} + πn, 0)

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Solution steps

Periodicity of

cos^{3} (x) csc (x) : π

Domain of

cos^{3} (x) csc (x) : πn < x < π + πn

Range of

cos^{3} (x) csc (x) : - \infty < f (x) < \infty

Axis interception points of

cos^{3} (x) csc (x) :

X Intercepts

: (\frac{π}{2} + πn, 0)

Asymptotes of

cos^{3} (x) csc (x) :

Vertical

: x = πn

Extreme Points of

cos^{3} (x) csc (x) :

Saddle

(\frac{π}{2} + πn, 0)

Popular Examples

f (n) = 4 n^{2} + n - 33

f(x)=x^2+10x+15

f (x) = x^{2} + 10 x + 15

f(x)=x^2+10x+29

f (x) = x^{2} + 10 x + 29

f(x)=x^2+10x+28

f (x) = x^{2} + 10 x + 28

f(x)=sin(3x)-sin(x)

f (x) = sin (3 x) - sin (x)

Frequently Asked Questions (FAQ)

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