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Popular >

f(θ)=(cos(θ))^2

Solution

f (θ) = (cos (θ))^{2}

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)

Graph

Popular Examples

factor (2+x)^3-8 factor

(2 + x)^{3} - 8

factor bm^2+by^2-cm^2-cy^2 factor

b m^{2} + b y^{2} - c m^{2} - c y^{2}

factor pia^2-pib^2 factor

π a^{2} - π b^{2}

3 (x)^{2}

factor x^2+1^2 factor

x^{2} + 1^{2}

Frequently Asked Questions (FAQ)

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