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What is the graphical representation of waves?
Sine graphs.
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.
What is the importance of trigonometry in the field of electricity?
Electromagnetic radiation is propogated as sine waves.
How many sine waves does a loudspeaker produce in 1 second if its frequency is 256 Hertz?
256
What is the connection between trigonometry ratios and sound waves?
Sound waves are transmitted through a medium as variations in the pressure of the medium. If the variation is plotted as a function of distance (or time), they will generate a sine curve (the cosine curve is the same as a sine curve with a phase shift). In practise, the sine curve is damped: the amplitude (or height) of the oscillations gradually decrease over time or distance, because of attenuation.
