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Popular >

f(θ)=tan(θ/2)

Solution

f (θ) = tan (\frac{θ}{2})

Solution

Period : 2 π

Domain : 2 πn \leq θ < π + 2 πn or π + 2 πn < θ < 2 π + 2 πn

Range : - \infty < f (θ) < \infty

X Intercepts : (2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical θ = π + 2 πn

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Periodicity of

tan (\frac{θ}{2}) : 2 π

Domain of

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

Range of

tan (\frac{θ}{2}) : - \infty < f (θ) < \infty

Axis interception points of

tan (\frac{θ}{2}) :

X Intercepts

: (2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

tan (\frac{θ}{2}) :

Vertical

: θ = π + 2 πn

Extreme Points of

tan (\frac{θ}{2}) :

None

Popular Examples

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f (x) = x^{2} - 8 x + 9

Frequently Asked Questions (FAQ)

What is the f(θ)=tan(θ/2) ?
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