Simplify sin(t+2pi)

Problem

sin(t+2*π)

Solution

1. Identify the periodicity of the sine function. The sine function has a period of 2*π radians, which means sin(θ+2*π*k)=sin(θ) for any integer k

2. Apply the property of periodicity to the given expression where k=1

3. Simplify the expression by removing the 2*π shift, as it represents one full rotation around the unit circle.

Final Answer

sin(t+2*π)=sin(t)

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