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Popular >

periodicity of y=5cos(3x-pi/4)

Solution

periodicity

y = 5 cos (3 x - \frac{π}{4})

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

asymptotes of f(x)=(x^2+4)/(4x^2-4x-8)asymptotes

f (x) = \frac{x ^{2} + 4}{4 x ^{2} - 4 x - 8}

line (-4,0),(0,9)line

(- 4, 0), (0, 9)

slope ofintercept y+7=-2(x-3)slope intercept

y + 7 = - 2 (x - 3)

asymptotes of f(x)=(x-9)/(x^2-81)asymptotes

f (x) = \frac{x - 9}{x ^{2} - 81}

critical x^2sqrt(x+1)critical points

x^{2} x + 1

Frequently Asked Questions (FAQ)

What is the periodicity of y=5cos(3x-pi/4) ?
The periodicity of y=5cos(3x-pi/4) is (2pi)/3