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Popular >

f(θ)=cos^2(θ)

Solution

f (θ) = cos^{2} (θ)

Solution

Period : π

Domain : - \infty < θ < \infty

Range : 0 \leq f (θ) \leq 1

X Intercepts : (\frac{π}{2} + πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (πn, 1), Minimum (\frac{π}{2} + πn, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 1]

Solution steps

Periodicity of

cos^{2} (θ) : π

Domain of

cos^{2} (θ) : - \infty < θ < \infty

Range of

cos^{2} (θ) : 0 \leq f (θ) \leq 1

Axis interception points of

cos^{2} (θ) :

X Intercepts

: (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos^{2} (θ) :

None

Extreme Points of

cos^{2} (θ) :

Maximum

(πn, 1),

Minimum

(\frac{π}{2} + πn, 0)

Popular Examples

asymptotes of (x^2+7x)/(x^3-5x^2-14x)asymptotes

\frac{x ^{2} + 7 x}{x ^{3} - 5 x ^{2} - 14 x}

domain of x^2+5cx-14 domain

x^{2} + 5 c x - 14

inverse of f(x)=(x-2)/(x+7)inverse

f (x) = \frac{x - 2}{x + 7}

range of 2(x-4)^2+3 range

2 (x - 4)^{2} + 3

extreme f(x)=(10)/(x^2+1)extreme points

f (x) = \frac{10}{x ^{2} + 1}

Frequently Asked Questions (FAQ)

What is the f(θ)=cos^2(θ) ?
The f(θ)=cos^2(θ) is