Pre-Calc Exam Notes 118

Pre-Calc Exam Notes 118 - 118 Chapter 5 Graphing and...

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Unformatted text preview: 118 Chapter 5 Graphing and Inverse Functions 5.2 In engineering two periodic functions with the same period are said to be out of phase if their phase shifts differ. For example, sin ( x 6 ) and sin x would be 6 radians (or 30 ) out of phase, and sin x would be said to lag sin ( x 6 ) by 6 radians, while sin ( x 6 ) leads sin x by 6 radians. Periodic functions with the same period and the same phase shift are in phase . The following is a summary of the properties of trigonometric graphs: For any constants A negationslash= 0, negationslash= 0, and : y = A sin ( x ) has amplitude | A | , period 2 , and phase shift y = A cos ( x ) has amplitude | A | , period 2 , and phase shift y = A tan ( x ) has undefined amplitude, period , and phase shift y = A csc ( x ) has undefined amplitude, period 2 , and phase shift y = A sec ( x ) has undefined amplitude, period...
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