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Express the following as a sum or difference of two trigonometric function: 2 cos 4θ cos 2θ - Mathematics and Statistics

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Question

Express the following as a sum or difference of two trigonometric function:

2 cos 4θ cos 2θ

Sum

Solution

2 cos 4θ cos 2θ

= cos (4θ + 2θ) + cos (4θ – 2θ)

= cos 6θ + cos 2θ

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Factorization Formulae - Formulae for Conversion of Product in to Sum Or Difference
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Chapter 3: Trigonometry - 2 - Exercise 3.4 [Page 51]

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