Draw the graph of the following sinusoidal function over the indicated interval. For this graph, • State the t-intercepts on the given interval. • State the y-intercept. • State the maximum value of the function and the t-coordinates of all the points where the maximum Occurs. State the minimum value of the function and the t-coordinates of all the points where the minimum value occurs. y = 5 cos(t) with -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Draw the graph of the following sinusoidal function over the indicated interval. For this graph,
• State the t-intercepts on the given interval.
• State the y-intercept.
• State the maximum value of the function and the t-coordinates of all the points where the maximum
occurs.
• State the minimum value of the function and the t-coordinates of all the points where the minimum
value occurs.
y = 5 cos(t) with -T <t < 3T.
t-intercept(s):
y-intercept:
maximum value:
occuring at t =
minimum value:
occuring at t =
45
3.5
2.5
2
15
05
-3.14
3.14
6.28
9.42
-0.5
Transcribed Image Text:Draw the graph of the following sinusoidal function over the indicated interval. For this graph, • State the t-intercepts on the given interval. • State the y-intercept. • State the maximum value of the function and the t-coordinates of all the points where the maximum occurs. • State the minimum value of the function and the t-coordinates of all the points where the minimum value occurs. y = 5 cos(t) with -T <t < 3T. t-intercept(s): y-intercept: maximum value: occuring at t = minimum value: occuring at t = 45 3.5 2.5 2 15 05 -3.14 3.14 6.28 9.42 -0.5
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