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Popular Functions >

f(x)=sec^4(x)tan^4(x)

Solution

f (x) = sec^{4} (x) tan^{4} (x)

Solution

Period : π

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

Range : f (x) \geq 0

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

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

Extreme Points : Minimum (πn, 0)

+1

Interval Notation

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

Range : [0, \infty)

Solution steps

Periodicity of

sec^{4} (x) tan^{4} (x) : π

Domain of

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

Range of

sec^{4} (x) tan^{4} (x) : f (x) \geq 0

Axis interception points of

sec^{4} (x) tan^{4} (x) :

X Intercepts

: (πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sec^{4} (x) tan^{4} (x) :

Vertical

: x = \frac{π}{2} + πn

Extreme Points of

sec^{4} (x) tan^{4} (x) :

Minimum

(πn, 0)

Graph

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Frequently Asked Questions (FAQ)

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