The given hypocycloid has parametric equations of the form a t b ((-5")). b) ((--)). x = (a - b) cos(t) + b cos y = (a - b)sin(t) - b sin

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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The given hypocycloid has parametric equations of the form
X = (a - b) cos(t) + bcos
y = (a − b)sin(t) — b sin
Find a and b.
a =
b
-
-4 -3
a - b
b
t
((² = b) ₁)
t
-2 -1
6 +
5
4
3
2
1
-1
2
-3
-5
−6+
1
2
3
4
8
6
Transcribed Image Text:The given hypocycloid has parametric equations of the form X = (a - b) cos(t) + bcos y = (a − b)sin(t) — b sin Find a and b. a = b - -4 -3 a - b b t ((² = b) ₁) t -2 -1 6 + 5 4 3 2 1 -1 2 -3 -5 −6+ 1 2 3 4 8 6
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