Determine the amplitude, period, and phase shift for y=tan(6+ 30°) and use them to plot the graph of the function.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 5E
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Question
Determine the amplitude, period, and phase shift for y-tan(e+ 30°) and
use them to plot the graph of the function.
amplitude = does not exist; period = 180°; phase shift =–30°
45
4
35
3
25-
2+
15-
1
05+
-90-05
-1+
-15+
-2
-25
-10 -180
s+
90
180
270
amplitude = does not exist; period = 180°; phase shift = -30°
45
4
35
25
2
13
1-
/ -90 0s+
-1-
-15+
-2
-25+
-3+
-270/ -180
90
180/ 270 /
-35-
4.
amplitude = does not exist; period = 180°; phase shift = 30°
45
4
35
3
25+
2+
15+
1
05A
-90 As+
-1+
-15-
-270 -180
90
180
270
-2
-25
amplitude = ; period = 180°; phase shift = -30°
%3D
45
35+
Transcribed Image Text:Determine the amplitude, period, and phase shift for y-tan(e+ 30°) and use them to plot the graph of the function. amplitude = does not exist; period = 180°; phase shift =–30° 45 4 35 3 25- 2+ 15- 1 05+ -90-05 -1+ -15+ -2 -25 -10 -180 s+ 90 180 270 amplitude = does not exist; period = 180°; phase shift = -30° 45 4 35 25 2 13 1- / -90 0s+ -1- -15+ -2 -25+ -3+ -270/ -180 90 180/ 270 / -35- 4. amplitude = does not exist; period = 180°; phase shift = 30° 45 4 35 3 25+ 2+ 15+ 1 05A -90 As+ -1+ -15- -270 -180 90 180 270 -2 -25 amplitude = ; period = 180°; phase shift = -30° %3D 45 35+
05t
-180
180
amplitude = does not exist; period = 180°; phase shift = –30°
35+
15+
1-
05
-270/ -180/ -90 f05 +
-1+
180
270
06
-15-
amplitude = does not exist; period = 180°; phase shift = 30°
15+
1-
90As
-1-
-15-
-2-
-25-
-270 -180
90
180
270
amplitude = ; period = 180°; phase shift = -30°
05
-1o -180
0-05-
180
Transcribed Image Text:05t -180 180 amplitude = does not exist; period = 180°; phase shift = –30° 35+ 15+ 1- 05 -270/ -180/ -90 f05 + -1+ 180 270 06 -15- amplitude = does not exist; period = 180°; phase shift = 30° 15+ 1- 90As -1- -15- -2- -25- -270 -180 90 180 270 amplitude = ; period = 180°; phase shift = -30° 05 -1o -180 0-05- 180
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Swokowski
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