Example 22 - Prove cos2 x cos2 (x pi/3) cos2 (x - pi/3)
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Example 22 - Prove cos2 x cos2 (x pi/3) cos2 (x - pi/3)
Example 22Prove that cos2 𝑥 cos2 (𝑥 𝜋/3) cos2 (𝑥−𝜋/3) = 3/2Lets first calculate all 3 terms separately We know thatcos 2x = 2 cos2 x − 1cos 2x 1 = 2cos2 x 𝑐𝑜𝑠⁡〖2𝑥 1〗/2 = cos2 x cos2 x = 𝐜𝐨𝐬⁡〖𝟐𝒙 𝟏〗/𝟐Replacing x with ("x " 𝝅/𝟑) cos2 ("x" 𝝅/𝟑) = cos⁡〖2(𝑥 𝜋/
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