What is the periodicity of f(x)=3cos((xpi)/2)+2 ?

The periodicity of f(x)=3cos((xpi)/2)+2 is 4

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periodicity of f(x)=3cos((xpi)/2)+2

periodicity

f (x) = 3 cos (\frac{x π}{2}) + 2

4

Solution steps

Periodicity of

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

Periodicity of

cos (x)

2 π

= \frac{2 π}{\frac{π}{2}}

Simplify

= 4

2 x^{2} + 8 x + 4

f (x) = \frac{3 x}{x ^{2} - 1}

f (x) = 4 - x

(4) (- 1.5)

y = - 5 x + 8

What is the periodicity of f(x)=3cos((xpi)/2)+2 ?
The periodicity of f(x)=3cos((xpi)/2)+2 is 4