Convert the polar equation to rectangular form.𝜃 = 3𝜋2
Question
Convert the polar equation to rectangular form.𝜃 = 3𝜋2
Solution
The given equation is in polar form and it is 𝜃 = 3𝜋/2. This equation represents a line in polar coordinates.
However, it's important to note that this equation doesn't have a direct equivalent in rectangular coordinates because it's specifying an angle (𝜃 = 3𝜋/2), not a relationship between x and y.
In polar coordinates, 𝜃 = 3𝜋/2 corresponds to a line that points straight down along the negative y-axis.
So, while it doesn't convert to a standard rectangular equation like y = mx + b, you could say that it corresponds to the entire negative y-axis, or the set of all points where y < 0 and x = 0 in rectangular coordinates.
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