6
QuizMultiple Choice

Graphing Polar Equations — Quiz

Question 6 • Precalculus

Which equation represents the polar form of x minus y is equal to 0 ?

Answer
A
theta is equal to 0
B
theta is equal to pi
C
theta is equal to 3 pi over 4
D
theta is equal to pi over 4

Explanation

In polar coordinates, x = r cos θ and y = r sin θ. The equation x − y = 0 means x = y, so cos θ = sin θ and tan θ = 1. This gives θ = π/4 (modulo π), so the matching choice is θ = π/4.

AI-written and checked against the verified answer.

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