What is the period of the sinusoid given by y=-3cos(2pi/5 x)?

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Question:

What is the period of the sinusoid given by y=-3cos(2pi/5 x)?

Answer:

y=-3cos(2pi/5 x)
y=a cos (bx+c) +d
a=-3; b=2pi/5; c=0; and d=0
Period: P=2pi/b
P=2pi/(2pi/5)
P=2pi*[5/(2pi)]P=(2pi*5)/(2pi)
P=5

Answer: The period of the sinusoid given by y=-3cos(2pi/5 x) is 5.

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