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The gravitational effect of the moon on bodies of water on the earth create a simple harmonnic motion (SHM) which manifests itself as semi-diurnal tides: that is, two hight tides and two low tides in approximately one day. The interval between two high todes (or two low tides) is approx 12 hours and 25 minutes.

The tidal effect is very well modelled by SHM, for which the sine (or cosine) waves are solutions.

The gravitational effect of the sun and local geography also play a part in tides.

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Related questions

How is trig used in life?

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.


An example how trigonometric functions are used to explain a real life occurance?

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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