Exercises 103-106: Graph the function f in the viewing rectangle [-27, 2T, T/2] by [-4, 4, 1]. Identify the range of f and then evaluate f(3) 103. (a) f(t)= 3 sin t (b) f(t) = sin (3t) 104. (a) f(t) = 2 cos t (b) f(t) = cos (21) 105 (a) f(t) — 2 cos (t) + 1 (b) f(t) = cos (2) - 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 18E
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Question
Can you explain question 103
87.-2T
3π
89.
91. -S
93. ST
95. - ST
11п
97. 6
99. -7
п
=
90.
T
7 п
92. - 2
94.7
96. - 3T
4
=
102. Sketch a graph of y
98. T
100.
Graphs of Trigonometric Functions
101. Sketch a graph of y
3
-
sin t for -27 ≤t≤ 2TT.
cost for -2T ≤t≤ 2T.
Exercises 103-106: Graph the function f in the viewing
rectangle [-2π, 2T, π/2] by [-4, 4, 1]. Identify the
range of f and then evaluate f(3T).
103. (a) f(t) = 3 sin t
(b) f(t) = sin (31)
104. (a) f(t) = 2 cos t
(b) f(t) = cos (2t)
105. (a) f(t) = 2 cos (t) + 1
(b) f(t) = cos (2t) - 1
106. (a) f(t) = 3 sin (t) + 1
(b) f(t) = sin (3t) - 1
107. Critical Thinking Use the graph of f(t) = sin t to
answer the following.
ST
f(t) = sin(t)
108. Criti
Applic
109. H
u
J
110.
111
11
Transcribed Image Text:87.-2T 3π 89. 91. -S 93. ST 95. - ST 11п 97. 6 99. -7 п = 90. T 7 п 92. - 2 94.7 96. - 3T 4 = 102. Sketch a graph of y 98. T 100. Graphs of Trigonometric Functions 101. Sketch a graph of y 3 - sin t for -27 ≤t≤ 2TT. cost for -2T ≤t≤ 2T. Exercises 103-106: Graph the function f in the viewing rectangle [-2π, 2T, π/2] by [-4, 4, 1]. Identify the range of f and then evaluate f(3T). 103. (a) f(t) = 3 sin t (b) f(t) = sin (31) 104. (a) f(t) = 2 cos t (b) f(t) = cos (2t) 105. (a) f(t) = 2 cos (t) + 1 (b) f(t) = cos (2t) - 1 106. (a) f(t) = 3 sin (t) + 1 (b) f(t) = sin (3t) - 1 107. Critical Thinking Use the graph of f(t) = sin t to answer the following. ST f(t) = sin(t) 108. Criti Applic 109. H u J 110. 111 11
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