A point starts at the location (3, 0) and moves counter-clockwise along a circular path with a radius of 3 units that is centered at the origin of an T-y plane. An angle with its vertex at the circle's center measures 0 radians and subtends the path the point travels. Let z represent the point's a- coordinate. (Draw a diagram of this to make sure you understand the context!) a. Write an expression (in terms of 0) to represent the point's distance to the right of the center of the circular path in radii. Preview b. Write a formula that expresses a in terms of 0. Preview c. If the angle has swept out 1.4 radians since the point started moving, what is the point's x-coordinate? Preview

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 24E
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A point starts at the location (3, 0) and moves counter-clockwise along a circular path with a radius of 3 units that is centered at the origin of an
T-y plane. An angle with its vertex at the circle's center measures 0 radians and subtends the path the point travels. Let z represent the point's a-
coordinate. (Draw a diagram of this to make sure you understand the context!)
a. Write an expression (in terms of 0) to represent the point's distance to the right of the center of the circular path in radii.
Preview
b. Write a formula that expresses z in terms of 0.
Preview
c. If the angle has swept out 1.4 radians since the point started moving, what is the point's x-coordinate?
Preview
Transcribed Image Text:A point starts at the location (3, 0) and moves counter-clockwise along a circular path with a radius of 3 units that is centered at the origin of an T-y plane. An angle with its vertex at the circle's center measures 0 radians and subtends the path the point travels. Let z represent the point's a- coordinate. (Draw a diagram of this to make sure you understand the context!) a. Write an expression (in terms of 0) to represent the point's distance to the right of the center of the circular path in radii. Preview b. Write a formula that expresses z in terms of 0. Preview c. If the angle has swept out 1.4 radians since the point started moving, what is the point's x-coordinate? Preview
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