1. 7.9 Graph of Tangent Function

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

3. General Tangent Curve middle point of graph

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

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

6. 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

7. 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

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