The half-angle identity tan A 2 = {B 1 - cos A 1 + cos A can be used to find tan 22.5 =

Chapter 5, Problem 18

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The half-angle identity tan A 2 = {B 1 - cos A 1 + cos A can be used to find tan 22.5 = 33 - 222, and the half-angle identity tan A 2 = sin A 1 + cos A can be used to fnd tan 22.5 = 22 - 1. Show that these answers are the same, without using a calculator. (Hint: If a 7 0 and b 7 0 and a2 = b2 , then a = b.)

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