Asked by umma
The number of sunspots (solar storms on the sun) fluctuates with roughly 11-year cycles with a high of 120 and a low of 0 sunspots detected. A peak of 120 sunspots was detected in the year 2000.
what is the trigonometric functions could be used to approximate this cycle?
what is the trigonometric functions could be used to approximate this cycle?
Answers
Answered by
Steve
starting with the peak at t=0 suggests use of a cosine function. Since the period is 11 years, start with
y = cos(2π/11 t)
The amplitude is (120-0)/2 = 60, so
y = 60 cos(2π/11 t)
The center line is at y=60, so
y = 60 cos(2π/11 t) + 60
where t is the number of years since 2000.
y = cos(2π/11 t)
The amplitude is (120-0)/2 = 60, so
y = 60 cos(2π/11 t)
The center line is at y=60, so
y = 60 cos(2π/11 t) + 60
where t is the number of years since 2000.
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