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Popular Functions >

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

Solution

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

Solution

Period : π

Domain : πn \leq x < \frac{π}{4} + πn or \frac{π}{4} + πn < x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < \frac{3 π}{4} + πn or \frac{3 π}{4} + πn < x < π + πn

Y Intercepts : (0, 1)

Asymptotes : None

+1

Interval Notation

Domain : [πn, \frac{π}{4} + πn) \cup (\frac{π}{4} + πn, \frac{π}{2} + πn) \cup (\frac{π}{2} + πn, \frac{3 π}{4} + πn) \cup (\frac{3 π}{4} + πn, π + πn)

Solution steps

Periodicity of

1 + tan (2 x) tan (x) : π

Domain of

1 + tan (2 x) tan (x) : πn \leq x < \frac{π}{4} + πn or \frac{π}{4} + πn < x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < \frac{3 π}{4} + πn or \frac{3 π}{4} + πn < x < π + πn

Axis interception points of

1 + tan (2 x) tan (x) :

Y Intercepts

: (0, 1)

Asymptotes of

1 + tan (2 x) tan (x) :

None

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=1+tan(2x)tan(x) ?
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