Question #1613

Explain why the sin(theta) and cos(theta) are periodic functions?

Expert's answer

From the definition of the periodic function,

f(x) = f(x+kT), where k=0,1,2,3,... and T is the period.

cos (θ) = cos(θ +k 2π)

sin(θ) = sin(θ + k 2π)

2π is the period of cos and sin.

f(x) = f(x+kT), where k=0,1,2,3,... and T is the period.

cos (θ) = cos(θ +k 2π)

sin(θ) = sin(θ + k 2π)

2π is the period of cos and sin.

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