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Chapter 6 Explorations
Section 6.5, Extension of Exploration 2 (page 547) Let 
.
1. Explain why 
produces the same graph as 
2. Use symmetry tests to show that the graph
of 
is symmetric about the origin.
3. Determine the values of 
that are in the domain of the polar equation 
.
Extension of Exploration Exercise 67 (page 549)
Consider the polar equation 
for n an even integer.
(a) Prove that the graph is symmetric about
the x-axis.
(b) Prove that the graph is symmetric about the y-axis.
(c) Prove that the graph is symmetric about the origin.
(d) Prove that the maximum r-value is | a| .
Section 6.6, Extension of Exploration Exercise 67 (page 549)
(c) Use the trigonometric form for the complex
numbers
