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vcsharp2003's latest activity
V
vcsharp2003
reacted to
Steve4Physics's post
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Intersection of a circle and a sine curve
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I'll give it a go... What is the maximum number of times (##N## ) a circle* can intersect the graph of ##y=\sin x##? a)##N \le 2## b)...
Jul 16, 2025
V
vcsharp2003
replied to the thread
Intersection of a circle and a sine curve
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It seems that none of the options given in the challenge problem under post#13 is true. I counted the number of intersections in post#10...
Jul 14, 2025
V
vcsharp2003
reacted to
willem2's post
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Intersection of a circle and a sine curve
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You didn't try to move the circle. The problem statement doesn't forbid this.
Jul 14, 2025
V
vcsharp2003
replied to the thread
Intersection of a circle and a sine curve
.
Its a Math book titled Mathematics 11 that is used in Grade 11 in schools of Ontario, Canada. The publisher is McGraw-Hill Ryerson and...
Jul 14, 2025
V
vcsharp2003
replied to the thread
Intersection of a circle and a sine curve
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Thank you so much for this example. It helped greatly in understanding the problem. It seems that the number of intersections has no...
Jul 13, 2025
V
vcsharp2003
replied to the thread
Intersection of a circle and a sine curve
.
Sorry, you're correct. I didn't paste the original question at the start. The exact problem as it appears in the Math book is as below...
Jul 13, 2025
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vcsharp2003
reacted to
FactChecker's post
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Intersection of a circle and a sine curve
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Good one. A simple version would be ##x^2+(y-r)^2 = r^2##, where ##r## can be a parameter. You can easily get as many intersections as...
Jul 13, 2025
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vcsharp2003
reacted to
FactChecker's post
in the thread
Intersection of a circle and a sine curve
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Over the range of allowable a, b, r, parameters there is no maximum. It might be possible to determine (or bound) the number of...
Jul 13, 2025
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vcsharp2003
reacted to
BvU's post
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Intersection of a circle and a sine curve
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Red circle: ##(x-\pi/2)^2+(y-999)^2=1000^2\ ## blue sine: ##y = \sin x\ ##...
Jul 13, 2025
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vcsharp2003
reacted to
FactChecker's post
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Intersection of a circle and a sine curve
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Jul 13, 2025
V
vcsharp2003
replied to the thread
Intersection of a circle and a sine curve
.
Yes, the problem seems accurate. It's a challenge problem in a high school text book.
Jul 12, 2025
V
vcsharp2003
reacted to
FactChecker's post
in the thread
Intersection of a circle and a sine curve
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Right. Is the problem statement complete and accurate?
Jul 12, 2025
V
vcsharp2003
replied to the thread
Intersection of a circle and a sine curve
.
Please give me the clue as I have tried your suggestion, but still I can't see the logic.
Jul 12, 2025
V
vcsharp2003
replied to the thread
Intersection of a circle and a sine curve
.
If it's a straight line there would be many peaks of the sin wave that it would touch. If we take it further down so it is on the x-axis...
Jul 12, 2025
V
vcsharp2003
replied to the thread
Intersection of a circle and a sine curve
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I tried your recommendation on the desmos.com graphing calculator and I was always getting 2 points of intersection for various circles...
Jul 12, 2025
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