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Popular >

f(θ)=cot(θ)-tan(θ)

Solution

f (θ) = cot (θ) - tan (θ)

Solution

Period : π

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

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

Asymptotes : Vertical θ = \frac{π}{2} + πn, θ = 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 (θ) - tan (θ) : π

Domain of

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

Axis interception points of

cot (θ) - tan (θ) :

X Intercepts

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

Asymptotes of

cot (θ) - tan (θ) :

Vertical

: θ = \frac{π}{2} + πn, θ = πn

Inflection Points of

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

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Frequently Asked Questions (FAQ)

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