Name: Trigonometry
Author: Blitzer
ISBN: 9780137316601

Ch. 2 - Graphs of the Trigonometric Functions; Inverse Trigonometric Functions

뒤로

모든 교과서

Blitzer 3rd Edition

Ch. 2 - Graphs of the Trigonometric Functions; Inverse Trigonometric Functions

Section 2.1: Graphs of Sine and Cosine Functions

문제 1

Determine the amplitude of each function. Then graph the function and y = sin x in the same rectangular coordinate system for 0 ≤ x ≤ 2π. y = 4 sin x

문제 3

Determine the amplitude of each function. Then graph the function and y = sin x in the same rectangular coordinate system for 0 ≤ x ≤ 2π. y = 1/3 sin x

문제 5

Determine the amplitude of each function. Then graph the function and y = sin x in the same rectangular coordinate system for 0 ≤ x ≤ 2π. y = -3 sin x

문제 9

Determine the amplitude and period of each function. Then graph one period of the function. y = 3 sin (1/2) x

문제 13

Determine the amplitude and period of each function. Then graph one period of the function. y = -3 sin 2πx

문제 15

In Exercises 7–16, determine the amplitude and period of each function. Then graph one period of the function. y = -sin 2/3 x

문제 17

In Exercises 17–30, determine the amplitude, period, and phase shift of each function. Then graph one period of the function. y = sin(x − π)

문제 18

Determine the amplitude, period, and phase shift of each function. Then graph one period of the function.

y = sin (x − π/2)

문제 21

In Exercises 17–30, determine the amplitude, period, and phase shift of each function. Then graph one period of the function. y = 3 sin(2x − π)

문제 23

In Exercises 17–30, determine the amplitude, period, and phase shift of each function. Then graph one period of the function. y = 1/2 sin(x + π/2)

문제 24

Determine the amplitude, period, and phase shift of each function. Then graph one period of the function.

y = 1/2 sin(x + π)

문제 25

In Exercises 17–30, determine the amplitude, period, and phase shift of each function. Then graph one period of the function. y = −2 sin(2x + π/2)

문제 27

Determine the amplitude, period, and phase shift of each function. Then graph one period of the function.

y = 3 sin(πx + 2)

문제 29

In Exercises 17–30, determine the amplitude, period, and phase shift of each function. Then graph one period of the function. y = −2 sin(2πx + 4π)

문제 31

In Exercises 31–34, determine the amplitude of each function. Then graph the function and y = cos x in the same rectangular coordinate system for 0 ≤ x ≤ 2π. y = 2 cos x

문제 35

In Exercises 35–42, determine the amplitude and period of each function. Then graph one period of the function. y = cos 2x

문제 37

In Exercises 35–42, determine the amplitude and period of each function. Then graph one period of the function. y = 4 cos 2πx

문제 39

In Exercises 35–42, determine the amplitude and period of each function. Then graph one period of the function. y = -4 cos 1/2 x

문제 43

In Exercises 43–52, determine the amplitude, period, and phase shift of each function. Then graph one period of the function. y = cos(x − π/2)

문제 44

Determine the amplitude, period, and phase shift of each function. Then graph one period of the function.

y = cos(x + π/2)

문제 45

In Exercises 43–52, determine the amplitude, period, and phase shift of each function. Then graph one period of the function. y = 3 cos(2x − π)

문제 46

Determine the amplitude, period, and phase shift of each function. Then graph one period of the function.

y = 4 cos(2x − π)

문제 47

In Exercises 43–52, determine the amplitude, period, and phase shift of each function. Then graph one period of the function. y = 1/2 cos (3x + π/2)

문제 49

In Exercises 43–52, determine the amplitude, period, and phase shift of each function. Then graph one period of the function. y = −3 cos (2x − π/2)

문제 51

In Exercises 43–52, determine the amplitude, period, and phase shift of each function. Then graph one period of the function. y = 2 cos (2πx + 8π)

문제 53

In Exercises 53–60, use a vertical shift to graph one period of the function. y = sin x + 2

문제 56

In Exercises 53–60, use a vertical shift to graph one period of the function. y = cos x + 3

문제 60

In Exercises 53–60, use a vertical shift to graph one period of the function. y = −3 sin 2πx + 2

문제 62

In Exercises 61–66, use the method of adding y-coordinates to graph each function for 0 ≤ x ≤ 2π. y = 3 cos x + sin x

문제 64

In Exercises 61–66, use the method of adding y-coordinates to graph each function for 0 ≤ x ≤ 2π. y = cos x + cos 2x