Cardioids, which resemble the shape of a heart, are curve patterns in polar coordinates that originate from circles. If you want to identify a cardioid, search for equations that align with the format r = a ± a*cos(θ) or r = a ± a*sin(θ). When it comes to graphing, you should plot the r values in relation to θ, which results in a looped pattern. Remember that points that are more distant from the origin represent greater r values.
Topic | Problem | Solution |
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None | Given the polar equation \( r = 1 - 2\cos(\theta)… | Step 1: Observe the given equation. In polar coordinates, the equation of a cardioid can be written… |