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Popular Functions >

f(X)=cos^2(X)

Solution

f (X) = cos^{2} (X)

Solution

Period : π

Domain : - \infty < X < \infty

Range : 0 \leq f (X) \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} (X) : π

Domain of

cos^{2} (X) : - \infty < X < \infty

Range of

cos^{2} (X) : 0 \leq f (X) \leq 1

Axis interception points of

cos^{2} (X) :

X Intercepts

: (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos^{2} (X) :

None

Extreme Points of

cos^{2} (X) :

Maximum

(πn, 1),

Minimum

(\frac{π}{2} + πn, 0)

Graph

Popular Examples

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y=sqrt(x^4)-sqrt(36x^2)+sqrt(81)

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f(x)=-2x^2-16x-30

f(x)=(x(x-1))/(x+2)

Frequently Asked Questions (FAQ)

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