Solution Found!
Subtle symmetry Without using a graphing utility,
Chapter 8, Problem 105AE(choose chapter or problem)
QUESTION:
Without using a graphing utility, determine the symmetries (if any) of the curve \(r = 4-\sin(\theta/2)\).
Questions & Answers
QUESTION:
Without using a graphing utility, determine the symmetries (if any) of the curve \(r = 4-\sin(\theta/2)\).
ANSWER:Solution 105AE
Step 1:
Symmetry test for polar graphs are:
1. Symmetry about x-axis : If lies on the graph, the the point also lies on the graph.
2. Symmetry about y-axis : If lies on the graph, the the point also lies on the graph.
3. Symmetry about origin : If lies on the graph, the the point also lies on the graph.
Given:
a. Replacing with