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Popular >

f(θ)=cos(449+θ)

Solution

f (θ) = cos (44 9^{\circ} + θ)

Solution

Period : 2 π

Domain : - \infty < θ < \infty

Range : - 1 \leq f (θ) \leq 1

X Intercepts : (\frac{π}{180} + 2 πn, 0), (\frac{181 π}{180} + 2 πn, 0), Y Intercepts : (0, cos (\frac{449 π}{180}))

Asymptotes : None

Extreme Points : Minimum (\frac{91 π}{180} + 2 πn, - 1), Maximum (\frac{271 π}{180} + 2 πn, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Convert

449

degrees to radians:

\frac{449 π}{180}

cos (\frac{449 π}{180} + θ)

Periodicity of

cos (\frac{449 π}{180} + θ) : 2 π

Domain of

cos (\frac{449 π}{180} + θ) : - \infty < θ < \infty

Range of

cos (\frac{449 π}{180} + θ) : - 1 \leq f (θ) \leq 1

Axis interception points of

cos (\frac{449 π}{180} + θ) :

X Intercepts

: (\frac{π}{180} + 2 πn, 0), (\frac{181 π}{180} + 2 πn, 0),

Y Intercepts

: (0, cos (\frac{449 π}{180}))

Asymptotes of

cos (\frac{449 π}{180} + θ) :

None

Extreme Points of

cos (\frac{449 π}{180} + θ) :

Minimum

(\frac{91 π}{180} + 2 πn, - 1),

Maximum

(\frac{271 π}{180} + 2 πn, 1)

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Frequently Asked Questions (FAQ)

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