The equation of the cosine function with amplitude 2 and period 4pi is y = 2cos(1/2)x
The standard equation of a cosine function is expressed as:
y = AcosBx
where
A is the amplitude
Period = 2pi/B
Given that period = 4pi, hence;
4pi = 2pi/B
B = 2pi/4pi
B = 1/2
Substitute into the cosine formula
y = 2cos(1/2)x
Hence the equation of the cosine function with amplitude 2 and period 4pi is y = 2cos(1/2)x
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