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Popular Functions >

f(θ)=1+sec^2(θ)

Solution

f (θ) = 1 + 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 2

Y Intercepts : (0, 2)

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

Extreme Points : Minimum (πn, 2)

+1

Interval Notation

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

Range : [2, \infty)

Solution steps

Periodicity of

1 + sec^{2} (θ) : π

Domain of

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

Range of

1 + sec^{2} (θ) : f (θ) \geq 2

Axis interception points of

1 + sec^{2} (θ) :

Y Intercepts

: (0, 2)

Asymptotes of

1 + sec^{2} (θ) :

Vertical

: θ = \frac{π}{2} + πn

Extreme Points of

1 + sec^{2} (θ) :

Minimum

(πn, 2)

Graph

Popular Examples

f(x)=x^6-8x^5+12x^4+80x^3-14x^2+768x-512

f(x)=x^4-4x^3-4x^2+24x+8

f(x)=sqrt(6x-3)

f(x)=6+8x^2-x^4

Frequently Asked Questions (FAQ)

What is the f(θ)=1+sec^2(θ) ?
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