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Popular >

f(θ)=cos(2θ)

Solution

f (θ) = cos (2 θ)

Solution

Period : π

Domain : - \infty < θ < \infty

Range : - 1 \leq f (θ) \leq 1

X Intercepts : (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 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 1

Axis interception points of

cos (2 θ) :

X Intercepts

: (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + 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, - 1)

Popular Examples

asymptotes of f(x)=(6-5x)/(3x-7)asymptotes

f (x) = \frac{6 - 5 x}{3 x - 7}

inverse of f(x)=-x/4 inverse

f (x) = - \frac{x}{4}

domain of f(x)= 8/(6/x-1)domain

f (x) = \frac{8}{\frac{6}{x} - 1}

intercepts of f(x)=5x^2-10x intercepts

f (x) = 5 x^{2} - 10 x

domain of f(x)=sqrt(5x+4)domain

f (x) = 5 x + 4

Frequently Asked Questions (FAQ)

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