Find a polar equation for the curve represented by the given cartesian equation:a) 2x-2y=3

Question

Mathematics

Kaiya Cook

17 December, 02:36

Find a polar equation for the curve represented by the given cartesian equation:a) 2x-2y=3

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Answers (1)

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Jeffrey Cisneros · Answer 1

The usual substitutions can be used:

x = r·cos (θ)

y = r·sin (θ)

These give

2r·cos (θ) - 2r·sin (θ) = 3

Solving for r, we get the desired equation:

r = 3 / (2· (cos (θ) - sin (θ)))