Question

Convert the Cartesian equation x - 5 = 0 to a polar equation.

Answer 1

r = 5sec(θ)

Explanation:

The usual conversion is ...

y = r·sin(θ)

x = r·cos(θ)

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The second of these can be used here.

r·cos(θ) -5 = 0

r·cos(θ) = 5

r = 5/cos(θ) = 5sec(θ)

A suitable polar equation is ...

r = 5sec(θ)