Homework QuestionsHomework Questions

Section 4.5 Part 2Section 4.5 Part 2Graphing tan and cotGraphing tan and cot

Properties of Tan(x)Properties of Tan(x)– Period: Period: – Domain: all real numbers except Domain: all real numbers except

when n is oddwhen n is odd– Range: (-Range: (-∞, ∞)∞, ∞)– x-int:x-int:– y-int: 0y-int: 0– Asymptotes: when n is odd Asymptotes: when n is odd

2n

n

2nx

Graph of Tan(x)Graph of Tan(x)

ExamplesExamples Find the value or Find the value or

tan tan 29

Graph Graph 1)3

tan(6 y

GraphGraph 1)42

tan( y

Properties of Cot(x)Properties of Cot(x)– Period: Period: – Domain: all real numbers exceptDomain: all real numbers except– Range: (-Range: (-∞, ∞)∞, ∞)– x-int: when n is oddx-int: when n is odd– y-int: noney-int: none– Asymptotes:Asymptotes:

2n

nx

n

ExampleExample Find cot( )Find cot( )

27

GraphGraph 3)42

cot( y

HomeworkHomework 4.5 Worksheet (tan and cot)4.5 Worksheet (tan and cot)