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Prove that cos(30° + x) = 3cosx-sinx2

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प्रश्न

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

बेरीज
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उत्तर

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometry - Exercise 3.4 [पृष्ठ १०९]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 3 Trigonometry
Exercise 3.4 | Q 6. (i) | पृष्ठ १०९

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