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Popular >

periodicity of y=cos(3x)

Solution

periodicity

y = cos (3 x)

Solution

\frac{2 π}{3}

Solution steps

Periodicity of

a \cdot cos (b x + c) + d = \frac{periodicity of cos ( x )}{∣ b ∣}

Periodicity of

cos (x)

is

2 π

= \frac{2 π}{∣ 3 ∣}

Simplify

= \frac{2 π}{3}

Popular Examples

critical sqrt(x-1)critical points

x - 1

inflection f(x)= 1/(2x^2+2)inflection points

f (x) = \frac{1}{2 x ^{2} + 2}

midpoint (9,-4),(4,-9)midpoint

(9, - 4), (4, - 9)

simplify (5.5)(2.2)simplify

(5.5) (2.2)

domain of (x-1)/((x-2)(x+4))domain

\frac{x - 1}{( x - 2 ) ( x + 4 )}

Frequently Asked Questions (FAQ)

What is the periodicity of y=cos(3x) ?
The periodicity of y=cos(3x) is (2pi)/3