Question

The letters r and θ represent polar coordinates. Write the given equation using rectangular coordinates (x,y).

r=sin θ

Answer 1

The equation r = sin θ can be written in rectangular coordinates as x = sin(θ) * cos(θ) and y = sin(θ) * sin(θ).

Step-by-step explanation:

The given equation r = sin θ represents the relationship between polar coordinates in the form of magnitude and angle. To convert this equation to rectangular coordinates (x, y), we can use the following relationships:

1. x = r * cos(θ)
2. y = r * sin(θ)

By substituting the value of r from the given equation, we have:

x = sin(θ) * cos(θ)

y = sin(θ) * sin(θ)