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Popular >

f(x)=1+tan(x)tan(x/2)

Solution

f (x) = 1 + tan (x) tan (\frac{x}{2})

Solution

Period : 2 π

Domain : 2 πn \leq x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < π + 2 πn or π + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Y Intercepts : (0, 1)

Asymptotes : None

+1

Interval Notation

Domain : [2 πn, \frac{π}{2} + 2 πn) \cup (\frac{π}{2} + 2 πn, π + 2 πn) \cup (π + 2 πn, \frac{3 π}{2} + 2 πn) \cup (\frac{3 π}{2} + 2 πn, 2 π + 2 πn)

Solution steps

Periodicity of

1 + tan (x) tan (\frac{x}{2}) : 2 π

Domain of

1 + tan (x) tan (\frac{x}{2}) : 2 πn \leq x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < π + 2 πn or π + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Axis interception points of

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

Y Intercepts

: (0, 1)

Asymptotes of

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

None

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Frequently Asked Questions (FAQ)

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