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The obvious answer is the relationships between the sides and angles of triangles.

Waves in the sea are an example of a sine wave. Tidal Experts and Meterologists alike use sine waves to help predict tides. Music will also emit waves that may often look like a sine wave and pure notes will look like sine or cosine waves.

The speed of a swinging pendulum can be plotted as a sine wave as well as the sound of a tuning fork.

Electromagnetic radiation (from a mobile phone, GPS, car radio ect) also moves in sine waves.

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