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Popular Functions >

f(θ)=cos(3θ)cos(2θ)

Solution

f (θ) = cos (3 θ) cos (2 θ)

Solution

Period : 2 π

Domain : - \infty < θ < \infty

X Intercepts : (\frac{π}{6} + 2 πn, 0), (\frac{5 π}{6} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0), (\frac{π}{2} + 2 πn, 0), (\frac{7 π}{6} + 2 πn, 0), (\frac{11 π}{6} + 2 πn, 0), (\frac{π}{4} + 2 πn, 0), (\frac{5 π}{4} + 2 πn, 0), (\frac{3 π}{4} + 2 πn, 0), (\frac{7 π}{4} + 2 πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Periodicity of

cos (3 θ) cos (2 θ) : 2 π

Domain of

cos (3 θ) cos (2 θ) : - \infty < θ < \infty

Axis interception points of

cos (3 θ) cos (2 θ) :

X Intercepts

: (\frac{π}{6} + 2 πn, 0), (\frac{5 π}{6} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0), (\frac{π}{2} + 2 πn, 0), (\frac{7 π}{6} + 2 πn, 0), (\frac{11 π}{6} + 2 πn, 0), (\frac{π}{4} + 2 πn, 0), (\frac{5 π}{4} + 2 πn, 0), (\frac{3 π}{4} + 2 πn, 0), (\frac{7 π}{4} + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos (3 θ) cos (2 θ) :

None

Graph

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Frequently Asked Questions (FAQ)

What is the f(θ)=cos(3θ)cos(2θ) ?
The f(θ)=cos(3θ)cos(2θ) is