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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Express the following as a sum or differencesin 4x cos 2x

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Question

Express the following as a sum or difference
sin 4x cos 2x

Sum
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Solution

sin A cos B = `1/2`[sin (A + B) + sin (A – B )]

Take A = 4x , B = 2x

sin 4x . cos 2x = `1/2`[sin(4x + 2x) + sin(4x – 2x)]

sin 4x . cos 2x = `1/2`[sin 6x + sin 2x]

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Trigonometric Functions and Their Properties
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Chapter 3: Trigonometry - Exercise 3.6 [Page 121]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 3 Trigonometry
Exercise 3.6 | Q 1. (ii) | Page 121

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