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Maharashtra State BoardSSC (English Medium) 9th Standard

Find the values of - cos 60° × cos 30° + sin 60° × sin 30° - Geometry

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Question

Find the values of -

cos 60° × cos 30° + sin 60° × sin 30°

Sum

Solution

cos 60° × cos 30° + sin 60° × sin 30°

= `1/2 xxsqrt3/2 + sqrt3/2 xx 1/2`

= `sqrt3/4 + sqrt 3/4`

= `(sqrt3 + sqrt3)/4`

= `(2sqrt3)/4`

= `sqrt 3/2`

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Trigonometric Ratios of 30° and 60° Angles
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Chapter 8: Trigonometry - Practice Set 8.2 [Page 112]

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Balbharati Geometry (Mathematics 2) [English] 9 Standard Maharashtra State Board
Chapter 8 Trigonometry
Practice Set 8.2 | Q 2. (vi) | Page 112
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