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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Prove that cos(30° + x) = 3cosx-sinx2 - Mathematics

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Question

Prove that cos(30° + x) = `(sqrt(3) cos x - sin x)/2`

Sum

Solution

cos(30° + x) = `(sqrt(3) cos x - sin x)/2`

cos(30° + x) = cos 30°. cos x – sin 30° sin x

= `sqrt(3)/2 cos x - 1/2 sin x`

cos(30° + x) = `(sqrt(3)cosx- sinx)/2`

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Trigonometric Functions and Their Properties
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Chapter 3: Trigonometry - Exercise 3.4 [Page 109]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 3 Trigonometry
Exercise 3.4 | Q 6. (i) | Page 109

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