Describe the motion of a particle with position (x, y) as t varies in the given interval.
21. x = 5 sin t, y = 2 cos t>, −π ≤ t ≤ 5π
The parametric equation for is as below.
The parametric equation for y as below.
Squaring and adding the equations and to obtain the equation of motion of the particle, we get,
The value of is increased from to .
Let us substitute the values of t in the parametric equations and to obtain the value of and respectively...
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