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Popular >

f(t)=sec^2(2t)

Solution

f (t) = sec^{2} (2 t)

Solution

Period : \frac{π}{2}

Domain : \frac{π}{2} n \leq t < \frac{π}{4} + \frac{π}{2} n or \frac{π}{4} + \frac{π}{2} n < t < \frac{π}{2} + \frac{π}{2} n

Range : f (t) \geq 1

Y Intercepts : (0, 1)

Asymptotes : Vertical t = \frac{π}{4} + \frac{π}{2} n

Extreme Points : Minimum (\frac{π}{2} n, 1)

+1

Interval Notation

Solution steps

Periodicity of

sec^{2} (2 t) : \frac{π}{2}

Domain of

sec^{2} (2 t) : \frac{π}{2} n \leq t < \frac{π}{4} + \frac{π}{2} n or \frac{π}{4} + \frac{π}{2} n < t < \frac{π}{2} + \frac{π}{2} n

Range of

sec^{2} (2 t) : f (t) \geq 1

Axis interception points of

sec^{2} (2 t) :

Y Intercepts

: (0, 1)

Asymptotes of

sec^{2} (2 t) :

Vertical

: t = \frac{π}{4} + \frac{π}{2} n

Extreme Points of

sec^{2} (2 t) :

Minimum

(\frac{π}{2} n, 1)

Graph

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Frequently Asked Questions (FAQ)

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