what will be the graph looks like for equation r = 4(1-cos(theta+pi/4))?
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To understand what the graph of the equation r = 4(1-cos(theta+pi/4)) looks like, we need to understand the polar coordinate system.
In the polar coordinate system, a point is represented by its distance from the origin (r) and the angle it makes with the positive x-axis (theta). By plotting various values of r and theta, we can create a graph in polar coordinates.
To find the graph of the equation, you can follow these steps:
Step 1: Choose a range of values for theta. For simplicity, let's choose a range of values from 0 to 2π (one full revolution).
Step 2: Substitute each value of theta in the equation r = 4(1-cos(theta+pi/4)) to find the corresponding value of r.
Step 3: Plot the points (r, theta) on a polar coordinate system.
Step 4: Connect the plotted points to visualize the graph.
By following these steps, you can draw the graph of the equation r = 4(1-cos(theta+pi/4)) in the polar coordinate system.