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Popular >

f(x)=csc^2(x)+1

Solution

f (x) = csc^{2} (x) + 1

Solution

Period : π

Domain : πn < x < π + πn

Range : f (x) \geq 2

Intercepts : None

Asymptotes : Vertical x = πn

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

+1

Interval Notation

Domain : (πn, π + πn)

Range : [2, \infty)

Solution steps

Periodicity of

csc^{2} (x) + 1 : π

Domain of

csc^{2} (x) + 1 : πn < x < π + πn

Range of

csc^{2} (x) + 1 : f (x) \geq 2

Axis interception points of

csc^{2} (x) + 1 :

None

Asymptotes of

csc^{2} (x) + 1 :

Vertical

: x = πn

Extreme Points of

csc^{2} (x) + 1 :

Minimum

(\frac{π}{2} + πn, 2)

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Frequently Asked Questions (FAQ)

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