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Popular >

f(θ)=-cos^2(θ)

Solution

f (θ) = - cos^{2} (θ)

Solution

Period : π

Domain : - \infty < θ < \infty

Range : - 1 \leq f (θ) \leq 0

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

Asymptotes : None

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

+1

Solution steps

Periodicity of

- cos^{2} (θ) : π

Domain of

- cos^{2} (θ) : - \infty < θ < \infty

Range of

- cos^{2} (θ) : - 1 \leq f (θ) \leq 0

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) :

Minimum

(πn, - 1),

Maximum

(\frac{π}{2} + πn, 0)

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Frequently Asked Questions (FAQ)

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