Problem

Plot the cardioid given by the polar equation \(r = 1 + cos(\theta)\)

Solution

Step 1 :Step 1: Recognize that the equation is in the form of a cardioid, \(r = a + bcos(\theta)\), where \(a = 1\) and \(b = 1\).

Step 2 :Step 2: Identify the orientation of the cardioid. Since \(b > 0\), the cardioid is oriented to the right.

Step 3 :Step 3: Identify the size of the cardioid. The size of the cardioid is determined by the sum \(a + |b| = 1 + 1 = 2\).

Step 4 :Step 4: Plot the cardioid. Start at the pole (the origin). The cardioid starts at the point \(r = 2\) (the size) on the right of the pole (since it's oriented to the right). The cardioid loops around the pole and comes back to the starting point, creating a heart shape.

From Solvely APP
Source: https://solvelyapp.com/problems/RnmepYFdHw/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download