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libretexts.org
7.0: Introduction to The Unit Circle- Sine and Cosine Functions
A function that repeats its values in regular intervals is known as a periodic function. The graphs of such functions show a general shape reflective of a pattern that keeps repeating. This means the …
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Sine and cosine are two key functions in trigonometry that relate angles to the ratios of sides in a right triangle. In the context of the unit circle, the cosine of an angle gives the horizontal coordinate, while the sine gives the vertical coordinate of a point on the circle. These functions are periodic, meaning they repeat in a regular pattern every full rotation, or 360 degrees. Sine starts at zero and goes up and down in a wave-like motion, while cosine starts at one and follows a similar
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