What is the f(x)=sec^4(x)-tan^4(x)-2tan^2(x) ?

The f(x)=sec^4(x)-tan^4(x)-2tan^2(x) is

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f(x)=sec^4(x)-tan^4(x)-2tan^2(x)

f (x) = sec^{4} (x) - tan^{4} (x) - 2 tan^{2} (x)

Period : π

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

Y Intercepts : (0, 1)

Asymptotes : None

Interval Notation

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

Solution steps

Periodicity of

sec^{4} (x) - tan^{4} (x) - 2 tan^{2} (x) : π

Domain of

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

Axis interception points of

sec^{4} (x) - tan^{4} (x) - 2 tan^{2} (x) :

Y Intercepts

: (0, 1)

Asymptotes of

sec^{4} (x) - tan^{4} (x) - 2 tan^{2} (x) :

None

What is the f(x)=sec^4(x)-tan^4(x)-2tan^2(x) ?
The f(x)=sec^4(x)-tan^4(x)-2tan^2(x) is