5 find the rectangular equation of the curve whose parametri

5. find the rectangular equation of the curve whose parametric equations are x=-cost and y=sint, 0° < t < 360°.

Solution: The parametric equations are x=-cost ...(i) and y=sint ...(i) , 0° < t < 360°.

Squaring and adding the equations (i) and (ii), to get

x^2+y^2 = cos^2(t) + sin^2(t)

x^2+y^2 = 1

Therefore, the required rectangular equation of the curve is: x^2+y^2 = 1 Ans