Replace the polar equations with equivalent Cartesian equations. Then describe or identify the graph. r sin theta = 0

Diana Lamb

Diana Lamb

Answered question

2022-09-07

Replace the polar equations with equivalent Cartesian equations. Then describe or identify the graph.
r sin θ = 0

Answer & Explanation

Frida King

Frida King

Beginner2022-09-08Added 8 answers

Since y = r sin θ , so r sin θ = 0 means y = 0, which is the x-axis.
Polar coordinates and Cartesian coordinates conversion:
r = x 2 + y 2
θ = tan 1 ( y x )
x = r cos θ
y = r sin θ
Result:
y=0

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