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Popular >

f(θ)=2tan(θ)

Solution

f (θ) = 2 tan (θ)

Solution

Period : π

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

Range : - \infty < f (θ) < \infty

X Intercepts : (πn, 0), Y Intercepts : (0, 0)

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

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Periodicity of

2 tan (θ) : π

Domain of

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

Range of

2 tan (θ) : - \infty < f (θ) < \infty

Axis interception points of

2 tan (θ) :

X Intercepts

: (πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

2 tan (θ) :

Vertical

: θ = \frac{π}{2} + πn

Extreme Points of

2 tan (θ) :

None

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