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Popular >

periodicity of f(x)=cos(5x)

Solution

periodicity

f (x) = cos (5 x)

Solution

\frac{2 π}{5}

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}{∣ 5 ∣}

Simplify

= \frac{2 π}{5}

Popular Examples

inverse of f(x)=x+3 inverse

f (x) = x + 3

range of (12-x-x^2)/(x-3)range

\frac{12 - x - x ^{2}}{x - 3}

intercepts of f(x)=x^2+y-16=0 intercepts

f (x) = x^{2} + y - 16 = 0

asymptotes of (x^2-6x-72)/(x^2-18x+72)asymptotes

\frac{x ^{2} - 6 x - 72}{x ^{2} - 18 x + 72}

amplitude of f(x)=4sin(50x)amplitude

f (x) = 4 sin (50 x)

Frequently Asked Questions (FAQ)

What is the periodicity of f(x)=cos(5x) ?
The periodicity of f(x)=cos(5x) is (2pi)/5