(1,0) (1,0 Positive Radian Negative Radian Answer the following questions: In terms of the coordinate P, the blue line segments equals: Ох O y O cos(t) O sin(t) In terms of the coordinate P, the red line segments equals: O x O y O cos(t) O sin(t)
(1,0) (1,0 Positive Radian Negative Radian Answer the following questions: In terms of the coordinate P, the blue line segments equals: Ох O y O cos(t) O sin(t) In terms of the coordinate P, the red line segments equals: O x O y O cos(t) O sin(t)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:In terms of the trigonometric functions of t, the blue line segments equals:
O y
O cos(t)
O sin(t)
In terms of the trigonometric functions of t, the red line segments equals:
Ох
O y
O cost)
O sin(t)
Part 2. Use the unit circle printed on a coaster.
Copy the Coordinate Plane to a sheet of the tracing paper. Please make sure that the y-axis is as close to the
left edge of the tracking paper as possible so the whole graph will fit. Mark –1 and 1 units on y-axis by placing
the unit circle coaster under the tracing paper such that its center coincides with the origin of the coordinate
system and using its radius as 1 unit (top and bottom of the circle will correspond to –1 and 1 mark).
Place a beginning of a string on the unit circle at the point (1,0), and wrap it counterclockwise around
the circle. Transfer the marks from the circle at the marked values to the string by writing on it using black
marker.
Now, transfer the marks on the string onto the r-axis of the function graph on the tracing papers. The end of
the string that was at (1, 0) must be placed at the origin (0, 0) and the string should lie along the axis. Label
these marks on the r-axis with the related angle measures from the unit circle (e.g., 0, 7/6, 1/4, etc.).
1. What component from the unit circle do the x-values on the function graph represent?
O cosine
O sine
O the angle
Transcribed Image Text:(1,0)
(1,0)
Positive Radian
Negative Radian
Answer the following questions:
In terms of the coordinate P, the blue line segments equals:
O x
O y
cos(t)
O sin(t)
In terms of the coordinate P, the red line segments equals:
O x
O y
cos(t)
O sin(t)
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