Question

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*

**Calculations:**

The parametric equation for

The parametric equation for *y* as below.

Squaring and adding the equations

The value of

Let us substitute the values of *t* in the parametric equations

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