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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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\frac{\partial}{\partial y} (4 x y + 4 y)

sum from n=0 to infinity of-6(1/4)^{2n}

n = 0 \sum \infty - 6 (\frac{1}{4})^{2 n}

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\int_{0}^{1} \frac{2 x}{( x ^{2} + 3 ) ^{3}} d x

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x \to \infty lim \frac{( e ^{x^{4} - x^{2}} )}{2}

derivative of f(x)=xsqrt(1+x^2)derivative of

f (x) = x 1 + x^{2}

Frequently Asked Questions (FAQ)

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