A point starts at the location (2.5, 0) and moves counter-clockwise along a circular path with a radius of 2.5 units that is centered at the origin of an r-y plane. An angle with its vertex at the circle's center has a measure of 0 radians and subtends the path the point travels. Let z represent the point's z-coordinate. (Draw a diagram of this to make sure you understand the context!) a. Complete the following statements. o As 0 varies from 0 to I varies from 2 to units. o As 0 varies from - to 7, z varies from units. to o As 0 varies from 7 to 37 I varies from to units. 2 o As 0 varies from 3n to 27, z varies from 2 to units. b. Based on your answers to part a, sketch a graph of the relationship between z and 0. (Represent 0 on the horizontal axis and z on the vertical axis.) 2 37/2 277 -2 -3 Clear All Draw:

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section4.1: Basic Graphs
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A point starts at the location (2.5, 0) and moves counter-clockwise along a circular path with a radius of 2.5 units that is centered at the origin of
an x-y plane. An angle with its vertex at the circle's center has a measure of 0 radians and subtends the path the point travels. Let x represent the
point's x-coordinate. (Draw a diagram of this to make sure you understand the context!)
a. Complete the following statements.
T
o As 0 varies from 0 to
x varies from
2
units.
to
o As 0 varies from
to T, x varies from
2
units.
to
o As 0 varies from T to
x varies from
units.
to
o As e varies from
to 27, x varies from
2
to
units.
b. Based on your answers to part a, sketch a graph of the relationship between x and 0. (Represent 0 on the horizontal axis and x on the
vertical axis.)
3/2
-1
-2
-3
Clear All Draw:
Submit
Transcribed Image Text:A point starts at the location (2.5, 0) and moves counter-clockwise along a circular path with a radius of 2.5 units that is centered at the origin of an x-y plane. An angle with its vertex at the circle's center has a measure of 0 radians and subtends the path the point travels. Let x represent the point's x-coordinate. (Draw a diagram of this to make sure you understand the context!) a. Complete the following statements. T o As 0 varies from 0 to x varies from 2 units. to o As 0 varies from to T, x varies from 2 units. to o As 0 varies from T to x varies from units. to o As e varies from to 27, x varies from 2 to units. b. Based on your answers to part a, sketch a graph of the relationship between x and 0. (Represent 0 on the horizontal axis and x on the vertical axis.) 3/2 -1 -2 -3 Clear All Draw: Submit
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