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Sine and Cosine Periodicity and Phase Shift

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Which of the following statements best describes the relationship between the sine and cosine functions with respect to their periodicity and phase shift, as illustrated by the unit circle?

A

The unit circle demonstrates that sine and cosine functions have different periods, with sine leading cosine by a phase shift of π/4 radians.

B

The unit circle shows that sine and cosine functions have the same period of 2π, with cosine leading sine by a phase shift of π/2 radians.

C

The unit circle illustrates that the sine function has a period of π, while the cosine function has a period of 2π, with no phase shift between them.

D

The unit circle shows that sine and cosine functions have the same period of π, with sine leading cosine by a phase shift of π radians.

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