Consider the parametric curve: x = 7+4 cost, y=9+4sint, 9+4 y = sint, The cartesian equation of the curve has the form (x − h)² + (y − k)² = R² with h k R and π/2 ≤ t ≤ 3π/2

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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Consider the parametric curve:
x = 7+ 4 cost, y = 9+ 4 sint,
The cartesian equation of the curve has the form
(x − h)² + (y − k)² = R² with
h
k
R
The initial point has coordinates: x =
(7)
2 , y = 9+4 sin ¹ ( 7 )
2
-
and
7+ 4 cos
π/2 ≤ t ≤ 3π/2
The terminal point has coordinates: x =
3π
3π
7+4 cos (37) y =
"
2
2
The curve is traced
counterclockwise)
9 + 4 sin
clockwise (enter clockwise or
Transcribed Image Text:Consider the parametric curve: x = 7+ 4 cost, y = 9+ 4 sint, The cartesian equation of the curve has the form (x − h)² + (y − k)² = R² with h k R The initial point has coordinates: x = (7) 2 , y = 9+4 sin ¹ ( 7 ) 2 - and 7+ 4 cos π/2 ≤ t ≤ 3π/2 The terminal point has coordinates: x = 3π 3π 7+4 cos (37) y = " 2 2 The curve is traced counterclockwise) 9 + 4 sin clockwise (enter clockwise or
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