Question: In Example 2, change 2x to 3x and then simplify. Data from Example 2 Simplify the expression cos 2 2x sin 2 2x. Since

In Example 2, change 2x to 3x and then simplify.

Data from Example 2

Simplify the expression cos² 2x − sin² 2x. Since this is the difference of the square of the cosine of an angle and the square of the sine of the same angle, it fits the right side of Eq. (20.22). Therefore, letting α = 2x, we have

cos² 2x − sin² 2x = cos 2(2x) = cos 4x

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