Let A be the angle between the positive x-axis and the ray pictured. If cos(A) = and sin(A) = 1³, what is the point of intersection between the ray and the unit circle? Reflect the ray across the y-axis into the 2nd quadrant. Let B be the angle between the positive x-axis and this new ray in the 2nd quadrant. What are the coordinates of intersection of this ray with angle B and the unit circle? Reflect the original ray across the origin (i.e, about the x-axis and then again about the y-axis) into the 3rd quadrant. Let C' be the angle between the positive x-axis and this new ray in the 3rd quadrant. What are the coordinates of intersection of this ray with angle C and the unit circle? Reflect the original ray across the x-axis into the 4th quadrant. Let D be the angle between the positive x-axis and this new ray in the 4th quadrant. What are the coordinates of intersection of this ray with angle D and the unit circle?

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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Consider a ray drawn in the first quadrant as pictured below.
A
Transcribed Image Text:Consider a ray drawn in the first quadrant as pictured below. A
Let A be the angle between the positive x-axis and the ray pictured. If cos(A) = and sin(A) = 1³, what is
the point of intersection between the ray and the unit circle?
13
7
Reflect the ray across the y-axis into the 2nd quadrant. Let B be the angle between the positive x-axis and this
new ray in the 2nd quadrant. What are the coordinates of intersection of this ray with angle B and the unit circle?
Reflect the original ray across the origin (i.e, about the x-axis and then again about the y-axis) into the 3rd
quadrant. Let C be the angle between the positive x-axis and this new ray in the 3rd quadrant. What are the
coordinates of intersection of this ray with angle C and the unit circle?
Reflect the original ray across the z-axis into the 4th quadrant. Let D be the angle between the positive z-axis and
this new ray in the 4th quadrant. What are the coordinates of intersection of this ray with angle D and the unit
circle?
Transcribed Image Text:Let A be the angle between the positive x-axis and the ray pictured. If cos(A) = and sin(A) = 1³, what is the point of intersection between the ray and the unit circle? 13 7 Reflect the ray across the y-axis into the 2nd quadrant. Let B be the angle between the positive x-axis and this new ray in the 2nd quadrant. What are the coordinates of intersection of this ray with angle B and the unit circle? Reflect the original ray across the origin (i.e, about the x-axis and then again about the y-axis) into the 3rd quadrant. Let C be the angle between the positive x-axis and this new ray in the 3rd quadrant. What are the coordinates of intersection of this ray with angle C and the unit circle? Reflect the original ray across the z-axis into the 4th quadrant. Let D be the angle between the positive z-axis and this new ray in the 4th quadrant. What are the coordinates of intersection of this ray with angle D and the unit circle?
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