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Tamil Nadu Board of Secondary EducationHSC Commerce Class 11

Express the following as the sum or difference of sine or cosine: AAcos 7A3sin 5A3 - Business Mathematics and Statistics

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Question

Express the following as the sum or difference of sine or cosine:

`cos  (7"A")/3 sin  (5"A")/3`

Sum

Solution

`= 1/2 [2 cos  (7"A")/3  sin  (5"A")/3]`  ...[Multiply and divide by 2]

`= 1/2 [sin ((7"A")/3 + (5"A")/3) - sin ((7"A")/3 - (5"A")/3)]`

`= 1/2 [sin  (12"A")/3 - sin  (7"A" - 5"A")/3]`

`= 1/2 [sin 4"A" - sin  (2"A")/3]`

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Chapter 4: Trigonometry - Exercise 4.3 [Page 88]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 11 TN Board
Chapter 4 Trigonometry
Exercise 4.3 | Q 1. (iii) | Page 88
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