# Answer to Question #6308 in Algebra for Brandy

Question #6308

Write an equation of the cosine function with amplitude 3 and period 4π

Expert's answer

f(x)=3cos(x/2)

Let's verify if written function meets the requirements:

|3cos(x/4)|<=3& -amplitude

f(x+4pi)=2cos((x+4pi)/2)=2cos(x/2+2pi)=2cos(x/2)=f(x) - so 4pi is the period

Let's verify if written function meets the requirements:

|3cos(x/4)|<=3& -amplitude

f(x+4pi)=2cos((x+4pi)/2)=2cos(x/2+2pi)=2cos(x/2)=f(x) - so 4pi is the period

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