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# trig55 - c h or y= Acos k c A sinusoidal function can be...

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#2: Sinusoidal Functions Sine and cosine graphs can be used to model real-world data by creating functions that relate to every day happenings. For example when given the times of sunrise and sunset of every month for a year, you can determine the amount of daylight on any given day, such as September 30. To do this you must write a function that models the hours of daylight and then use the model to estimate the number of hours of daylight on September 30. To do this you must first compute the amount of daylight for each day as a decimal value and then change each time to a decimal rounded to the nearest hundredth. The next step is to enter the data into a graphing calculator and graph the points. The graph will look similar to the sine curve. This can be written as a sinusoidal function to represent the data. A sinusoidal function is written as y= Asin(k

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Unformatted text preview: +c) +h or y= Acos( k +c). A sinusoidal function can be written as a sine function or a cosine function. The amplitude, the period, and the midline will remain the same. However the phase shift will be different. Some real-world phenomena that can be modeled by sinusoidal functions are forecasting the weather. We can you the sinusoidal functions to determine the estimated weather for the year. We can also use sinusoidal functions for health reasons, such as determining the amount of calories in certain given items. Also sinusoidal functions can be used for health reasons in determining the average amount of air that is in the lungs of an adult when he/she take a breath. There are so many ways in the real-world that sinusoidal functions can be used to determine certain factors or patterns in every life....
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