Prove the following identity. cos“ e = 1 cos 20 + cos? 20 2 4 We begin by using a Double-Angle Formula twice on the right side of the equation. We can then expand all products and add the fractions to simplify. cos 20 cos? 20 2 1 (2 cos? e – 1)2 4 2 4 cos4 e – 4 cos? e + 1 4 4 cos4 e 4 = cos e II

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