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Popular >

f(θ)=sec^2(θ)

Solution

f (θ) = sec^{2} (θ)

Solution

Period : π

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

Range : f (θ) \geq 1

Y Intercepts : (0, 1)

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

Extreme Points : Minimum (πn, 1)

+1

Interval Notation

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

Range : [1, \infty)

Solution steps

Periodicity of

sec^{2} (θ) : π

Domain of

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

Range of

sec^{2} (θ) : f (θ) \geq 1

Axis interception points of

sec^{2} (θ) :

Y Intercepts

: (0, 1)

Asymptotes of

sec^{2} (θ) :

Vertical

: θ = \frac{π}{2} + πn

Extreme Points of

sec^{2} (θ) :

Minimum

(πn, 1)

Popular Examples

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f (x) = \frac{x + 3}{x}

f (x) = cos (π x)

f (s) = s^{2} + 4

Frequently Asked Questions (FAQ)

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