Question

What is the rectangular equivalence to the parametric equations?

x(θ)=3cosθ+2,y(θ)=2sinθ−1 , where 0≤θ<2π .

Answer 1

The rectangular equivalence to the parametric equations x(θ) = 3cosθ + 2, y(θ) = 2sinθ - 1 is x = 3cos(θ) + 2 and y = 2sin(θ) - 1. These equations represent a curve in the rectangular coordinate system.

Step-by-step explanation:

The rectangular equivalence to the given parametric equations is:

x = 3cos(θ) + 2

y = 2sin(θ) - 1

These equations represent a curve in the rectangular coordinate system. The x-coordinate is obtained by multiplying the cosine of θ by 3 and adding 2, while the y-coordinate is obtained by multiplying the sine of θ by 2 and subtracting 1.