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Which equation represents the polar form of x – y = 0?

A. θ = 0
b. Theta = π/4
c. Theta = 3π/4
d. θ = π

1 Answer

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Final answer:

The polar form of x - y = 0 is θ = π/4 or θ = 5π/4.

Step-by-step explanation:

The equation x - y = 0 represents a linear equation in Cartesian coordinates. To convert it into polar form, we need to express x and y in terms of polar variables r and θ.

Given that x = rcosθ and y = rsinθ, we can substitute these expressions into the given equation:

rcosθ - rsinθ = 0

Factoring out r:

r(cosθ - sinθ) = 0

Therefore, the equation in polar form is θ = π/4 or θ = 5π/4.

User Johny Jaz
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