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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Express the following as a sum or differencesin 35° cos 28° - Mathematics

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Question

Express the following as a sum or difference
sin 35° cos 28°

Sum
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Solution

sin 35° cos 28°

We know

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

Take A = 35° and B = 28°

sin 35°cos 28° = `1/2`[sin(35° + 28°) + sin(35° – 28°)]

sin 35°cos 28° = `1/2`[sin 63° + sin 7°]

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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. (i) | Page 121

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