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Popular >

periodicity of f(x)= 1/2 cos(4x)

Solution

periodicity

f (x) = \frac{1}{2} cos (4 x)

Solution

\frac{π}{2}

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}{∣ 4 ∣}

Simplify

= \frac{π}{2}

Popular Examples

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

\frac{2 x + 2}{x ^{2} - 1}

critical y=x^2+4 critical points

y = x^{2} + 4

inverse of f(x)= 6/(x^2+1)inverse

f (x) = \frac{6}{x ^{2} + 1}

domain of sqrt(2-7x)domain

2 - 7 x

range of-4 range

- 4

Frequently Asked Questions (FAQ)

What is the periodicity of f(x)= 1/2 cos(4x) ?
The periodicity of f(x)= 1/2 cos(4x) is pi/2