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Popular >

f(x)=cot(x)-tan(x)

Solution

f (x) = cot (x) - tan (x)

Solution

Period : π

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

X Intercepts : (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0)

Asymptotes : Vertical x = \frac{π}{2} + πn, x = πn

Inflection Points : (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0)

+1

Interval Notation

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

Solution steps

Periodicity of

cot (x) - tan (x) : π

Domain of

cot (x) - tan (x) : πn < x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Axis interception points of

cot (x) - tan (x) :

X Intercepts

: (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0)

Asymptotes of

cot (x) - tan (x) :

Vertical

: x = \frac{π}{2} + πn, x = πn

Inflection Points of

cot (x) - tan (x) : (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0)

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