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7.9 Graph of Tangent Function

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Graph of y = tanx Period = Amplitude = not defined x y 1 –1

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General Tangent Curve middle point of graph

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Ex 1) Graph b c a d Per = IL: = = = 2 = 0 2 –2 Check Period: Check a point: Factor out b (middle)

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Ex 2) Graph b c a d Per = π IL: = 1 = = –3 = 0 3 –3 Check Period: Check a point: (middle)

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Graph of y = cscx Reciprocal of sine Graph sine first csc x is und when sin x = 0 csc x = 1 when sin x = 1 csc x = 2 when sin x = ½ csc x = –1 when sin x = –1 csc x = –2 when sin x = –½ 1 –1 Amp is undefined Period = 2 π

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Graph of y = secx Reciprocal of cosine Graph cosine first sec x is und when cos x is 0 sec x = 1 when cos x = 1 sec x = 2 when cos x = ½ sec x = –1 when cos x = –1 sec x = –2 when cos x = –½ 1 –1 Amp is undefined Period = 2 π

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Homework #722 Pg. 454 42, 44 Pg. 465 5, 6, 15, 17, 18, 19, 22, 29 – 34 all

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4.4 Graphs of Sine and Cosine: Sinusoids. By the end of today, you should be able to: Graph the sine and cosine functions Find the amplitude, period,

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