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

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Question

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

2 sin 4x cos 2x

Sum

Solution

2 sin 4x cos 2x

= sin (4x + 2x) + sin (4x – 2x)

= sin 6x + sin 2x

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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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