Using a diagram of the unit circle and the Pythagorean Theorem, show that sin2 (1 cos )2

Chapter 2, Problem 58

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Using a diagram of the unit circle and the Pythagorean Theorem, show that sin2 (1 cos )2 + sin2 2 Conclude that sin2 2(1 cos ) 2 and use this to give an alternative proof of Eq. (9) in Exercise 51. Then give an alternative proof of the result in Exercise 52.

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