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Express the following as a sum or difference of two trigonometric function: 2sin 2π3cos π2 - Mathematics and Statistics

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Question

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

`2sin  (2pi)/3 cos  pi/2`

Sum

Solution

`2sin  (2pi)/3 cos  pi/2`

= `sin((2pi)/3 + pi/2) + sin((2pi)/3 - pi/2)`

= `sin  (7pi)/6 + sin  pi/6`

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

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