GRAPH OF SINE COSINE AND TANGENT Section 7

GRAPH OF SINE, COSINE, AND TANGENT Section 7. 1 Pre-Calculus AB Pre-AP/Dual, Revised © 2014 viet. dang@humble. k 12. tx. us 12/27/2021 11: 51 PM 7. 1: Graphs of Sin, Cos, and Tan 1

REVIEW Revisit the Unit Circle 12/27/2021 11: 51 PM 7. 1: Graphs of Sin, Cos, and Tan 2

REVIEW Unit Circle of Sin Coordinates 12/27/2021 11: 51 PM 7. 1: Graphs of Sin, Cos, and Tan 3

QUADRANTALS 12/27/2021 11: 51 PM 7. 1: Graphs of Sin, Cos, and Tan 4

EXAMPLE 1 Graph y = sin(x) 12/27/2021 11: 51 PM 7. 1: Graphs of Sin, Cos, and Tan x f(x) 0 0 π/2 1 π 0 3π/2 – 1 2π 0 5

EXAMPLE 1 Graph y = sin(x) Period: Domain: Range: Increasing: Decreasing: Zeroes: Odd or Even Function? 12/27/2021 11: 51 PM 7. 1: Graphs of Sin, Cos, and Tan 6

EXAMPLE 1 Graph y = sin(x) 12/27/2021 11: 51 PM 7. 1: Graphs of Sin, Cos, and Tan 7

REVIEW Unit Circle of Cosine Coordinates 12/27/2021 11: 51 PM 7. 1: Graphs of Sin, Cos, and Tan 8

EXAMPLE 2 Graph y = cos(x) 12/27/2021 11: 52 PM 7. 1: Graphs of Sin, Cos, and Tan x f(x) 0 1 π/2 0 π – 1 3π/2 0 2π 1 9

EXAMPLE 2 Graph y = cos(x) Period: Domain: Range: Increasing: Decreasing: Zeroes: Odd or Even Function? 12/27/2021 11: 52 PM 7. 1: Graphs of Sin, Cos, and Tan 10

REVIEW Unit Circle of Tangent Coordinates 12/27/2021 11: 52 PM 7. 1: Graphs of Sin, Cos, and Tan 11

EXAMPLE 3 Graph y = tan(x) 12/27/2021 11: 52 PM From 3π/4, tan is negative; ( –√ 2/2, √ 2/2) From π/4, tan is positive, (√ 2/2, √ 2/2) 7. 1: Graphs of Sin, Cos, and Tan x f(x) 0 0 π/4 1 π/2 Und 3π/4 – 1 π 0 12

EXAMPLE 3 Graph y = tan(x) Period: Domain: Range: Zeroes: Odd or Even Function? 12/27/2021 11: 52 PM 7. 1: Graphs of Sin, Cos, and Tan 13

EXAMPLE 4 12/27/2021 11: 52 PM 7. 1: Graphs of Sin, Cos, and Tan 14

EXAMPLE 5 12/27/2021 11: 52 PM 7. 1: Graphs of Sin, Cos, and Tan 15

YOUR TURN 12/27/2021 11: 52 PM 7. 1: Graphs of Sin, Cos, and Tan 16

ASSIGNMENT Page 483 7 -19 odd 12/27/2021 11: 52 PM 7. 1: Graphs of Sin, Cos, and Tan 17