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Popular >

f(x)=csc(x)+csc(2x)+cot(2x)

Solution

f (x) = csc (x) + csc (2 x) + cot (2 x)

Solution

Period : 2 π

Domain : 2 πn < x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < π + 2 πn or π + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Intercepts : None

Asymptotes : Vertical x = 2 πn

+1

Interval Notation

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

Solution steps

Periodicity of

csc (x) + csc (2 x) + cot (2 x) : 2 π

Domain of

csc (x) + csc (2 x) + cot (2 x) : 2 πn < x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < π + 2 πn or π + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Axis interception points of

csc (x) + csc (2 x) + cot (2 x) :

None

Asymptotes of

csc (x) + csc (2 x) + cot (2 x) :

Vertical

: x = 2 πn

Popular Examples

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f (x) = x^{5} + 2 x^{4} - 13 x^{3} - 26 x^{2} + 36 x + 72

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Frequently Asked Questions (FAQ)

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