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Prove that: sin60°. cos30° - sin60°. sin30° = 1 2 - Mathematics

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प्रश्न

Prove that: sin60°. cos30° - sin60°. sin30° = `(1)/(2)`

बेरीज
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उत्तर

L.H.S. = sin60° . cos30° - cos60° . sin30°

= `sqrt(3)/(2) xx sqrt(3)/(2) - (1)/(2) xx (1)/(2)`

= `(3)/(4) - (1)/(4)`

= `(2)/(4)`

= `(1)/(2)`
= R.H.S.

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पाठ 27: Trigonometrical Ratios of Standard Angles - Exercise 27.1

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फ्रँक Mathematics [English] Class 9 ICSE
पाठ 27 Trigonometrical Ratios of Standard Angles
Exercise 27.1 | Q 3.1
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