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Assume f has period 2pi. Sketch the graph of f in the interval [-4pi,4pi].
Is this function an even function? Explain.
Is this function an odd function? Explain
3 3
Solution
let theta theta = t
from the graph y = f(t) = 3 + 2sin(t)
f(-t) = 3 + 2sin(-t) = 3 - 2sint
therefore f(t) not equal to f(-t)
then f(t) is odd function

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