20. f (t) = 4 cos (2 (t + 7)) − 3

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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6.1 Graphs of the Sine and Cosine Functions
18. f (t) = 2 sin (t – 57)
6
For the following exercises, graph one full period of
each function, starting at x = 0. For each function,
state the amplitude, period, and midline. State the
maximum and minimum y-values and their
corresponding x-values on one period for x > 0. State
the phase shift and vertical translation, if applicable.
Round answers to two decimal places if necessary.
19. f(t) = − cos (t + 5) + 1
3
20. ƒ (t) = 4 cos (2 (t + 7)) − 3
f
21. f (t) = − sin (t + 5)
3
ㅠ
22. ƒ (x) = 4 sin ( 7 (x − 3)) + 7
f(x)
1
23. Determine the amplitude, midline, period, and
an equation involving the sine function for the
graph shown in Figure 26.
-5 -4 -3 -2 -1 0
-1.
-2-
-3
-5.
1 2
61
3
AA
4
+x
5
Transcribed Image Text:8:05 openstax.org 6.1 Graphs of the Sine and Cosine Functions 18. f (t) = 2 sin (t – 57) 6 For the following exercises, graph one full period of each function, starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum y-values and their corresponding x-values on one period for x > 0. State the phase shift and vertical translation, if applicable. Round answers to two decimal places if necessary. 19. f(t) = − cos (t + 5) + 1 3 20. ƒ (t) = 4 cos (2 (t + 7)) − 3 f 21. f (t) = − sin (t + 5) 3 ㅠ 22. ƒ (x) = 4 sin ( 7 (x − 3)) + 7 f(x) 1 23. Determine the amplitude, midline, period, and an equation involving the sine function for the graph shown in Figure 26. -5 -4 -3 -2 -1 0 -1. -2- -3 -5. 1 2 61 3 AA 4 +x 5
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