3-Lesson_Notes_Lecture_18 - EE 204 Lecture 18 Review of...

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EE 204 Lecture 18 Review of Sinusoidal Functions Sinusoidal Functions: The sine and the cosine functions [e.g. sin x and cos x ] are called sinusoidal functions . cos A x versus x is shown [ x is in radians ] Assuming the amplitude A to be positive, cos A x has: 1) maximum values of A at 0, 2 , 4 ,. ... x π =± ± 2) minimum values of A at , 3 ,. ... x ± 3) zeros at 357 , , , ,.... 22 2 2 x πππ ± ± ± x 3 - - -3 -5 -2 - - - A Cos(x) A -A Figure 1 () cos f tA t ω = versus t is shown [replace x t to obtain this graph] Where = angular frequency [radians/second]
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Figure 2 A graph of ( ) cos f tA t ω = versus t is obtained by dividing the horizontal axis by () cos f t = has: 1) maximum values of A at 24 0, , ,.... t π =± ± Figure 3 2) minimum values of A at 3 , ,.... t ±
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Figure 4 3) zeros at /2 3 /2 5 /2 7 /2 , , , ,.... t π πππ ω ωωω ± ± ± Figure 5 () cos f tA t = is a periodic function (because it repeats itself indefinitely). The period T = minimum time required for () f t to repeat itself To find T find the time difference between two adjacent peaks there are two adjacent peaks
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This note was uploaded on 01/16/2010 for the course EE ee204 taught by Professor Profosama during the Spring '09 term at King Fahd University of Petroleum & Minerals.

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3-Lesson_Notes_Lecture_18 - EE 204 Lecture 18 Review of...

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