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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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TRIGONOMETRY, 5.0 STUDENTS KNOW THE DEFINITIONS OF THE TANGENT AND COTANGENT FUNCTIONS AND CAN GRAPH THEM. Graphing Other Trigonometric Functions.

TRIGONOMETRY, 5.0 STUDENTS KNOW THE DEFINITIONS OF THE TANGENT AND COTANGENT FUNCTIONS AND CAN GRAPH THEM. Graphing Other Trigonometric Functions.

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