In this exercise you will use the following figure to

Chapter 9, Problem 96

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In this exercise you will use the following figure to derive the Mollweide formula: The figure is constructed as follows. Starting with ^ABC, extend side so that CP b, as shown. Then draw line segment (a) Show that (b) Show that Hint: Start with the fact that (c) Use the law of sines now in ^ABP to show that sin390 1 2 1A B2 4 a b sin 1 2C(d) Use the result in part (c) to obtain the requiredidentity.

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