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A point starts at the location (0, 6) and moves CCW along a circle centered at (0, 0). Let # represent the number of radians the point has swept out since it started moving. Draw a diagram of this to make sure you understand the context! a. Suppose the point has swept out 0.1 radians since it started moving (0 = 0.1). How many radians would need to be swept out from the 3- o'clock position [or from (6, 0)] to get to the point's current position? * radians Preview 0.2+pi b. Write an expression in terms of to represent how many radians would need to be swept out from the 3-o'clock position to get to the point's current position. (Enter "theta" for 8.) Preview c. Write a function f that determine's the point's x-coordinate in terms 8. (Recall that represents a number of radians swept out from the 12-o'clock position, not the 3-o'clock position!) f(0) = 6sin(pi+theta) d. Sketch a graph of f. 8+ f(0) 6 4- 2- N 7/2 ग 3.x/2 LET --4- -6+ pi/2+theta -5/2 -8- Preview

A point starts at the location (0, 6) and moves CCW along a circle centered at (0, 0). Let # represent the number of radians the point has swept out since it started moving. Draw a diagram of this to make sure you understand the context! a. Suppose the point has swept out 0.1 radians since it started moving (0 = 0.1). How many radians would need to be swept out from the 3- o'clock position [or from (6, 0)] to get to the point's current position? * radians Preview 0.2+pi b. Write an expression in terms of to represent how many radians would need to be swept out from the 3-o'clock position to get to the point's current position. (Enter "theta" for 8.) Preview c. Write a function f that determine's the point's x-coordinate in terms 8. (Recall that represents a number of radians swept out from the 12-o'clock position, not the 3-o'clock position!) f(0) = 6sin(pi+theta) d. Sketch a graph of f. 8+ f(0) 6 4- 2- N 7/2 ग 3.x/2 LET --4- -6+ pi/2+theta -5/2 -8- Preview

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 60E
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A point starts at the location (0, 6) and moves CCW along a circle centered at (0, 0). Let # represent the number of radians the point has swept out since it started moving. Draw a diagram of this to make sure you understand the context! a. Suppose the point has swept out 0.1 radians since it started moving (0 = 0.1). How many radians would need to be swept out from the 3- o'clock position [or from (6, 0)] to get to the point's current position? * radians Preview 0.2+pi b. Write an expression in terms of to represent how many radians would need to be swept out from the 3-o'clock position to get to the point's current position. (Enter "theta" for 8.) Preview c. Write a function f that determine's the point's x-coordinate in terms 8. (Recall that represents a number of radians swept out from the 12-o'clock position, not the 3-o'clock position!) f(0) = 6sin(pi+theta) d. Sketch a graph of f. 8+ f(0) 6 4- 2- N 7/2 ग 3.x/2 LET --4- -6+ pi/2+theta -5/2 -8- Preview
Transcribed Image Text:A point starts at the location (0, 6) and moves CCW along a circle centered at (0, 0). Let # represent the number of radians the point has swept out since it started moving. Draw a diagram of this to make sure you understand the context! a. Suppose the point has swept out 0.1 radians since it started moving (0 = 0.1). How many radians would need to be swept out from the 3- o'clock position [or from (6, 0)] to get to the point's current position? * radians Preview 0.2+pi b. Write an expression in terms of to represent how many radians would need to be swept out from the 3-o'clock position to get to the point's current position. (Enter "theta" for 8.) Preview c. Write a function f that determine's the point's x-coordinate in terms 8. (Recall that represents a number of radians swept out from the 12-o'clock position, not the 3-o'clock position!) f(0) = 6sin(pi+theta) d. Sketch a graph of f. 8+ f(0) 6 4- 2- N 7/2 ग 3.x/2 LET --4- -6+ pi/2+theta -5/2 -8- Preview
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