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Popular >

y=tan(x/2)

Solution

y = tan (\frac{x}{2})

Solution

Period : 2 π

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

Range : - \infty < f (x) < \infty

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

Asymptotes : Vertical x = 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{x}{2}) : 2 π

Domain of

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

Range of

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

Axis interception points of

tan (\frac{x}{2}) :

X Intercepts

: (2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

tan (\frac{x}{2}) :

Vertical

: x = π + 2 πn

Extreme Points of

tan (\frac{x}{2}) :

None

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Frequently Asked Questions (FAQ)

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