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Popular >

f(x)=cos(x)+cos(2x)+cos(3x)

Solution

f (x) = cos (x) + cos (2 x) + cos (3 x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

Asymptotes : None

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Periodicity of

cos (x) + cos (2 x) + cos (3 x) : 2 π

Domain of

cos (x) + cos (2 x) + cos (3 x) : - \infty < x < \infty

Axis interception points of

cos (x) + cos (2 x) + cos (3 x) :

X Intercepts

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

Y Intercepts

: (0, 3)

Asymptotes of

cos (x) + cos (2 x) + cos (3 x) :

None

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Frequently Asked Questions (FAQ)

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