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Without using tables, evaluate the following: sin60° sin30°+ cos30° cos60° - Mathematics

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प्रश्न

Without using tables, evaluate the following: sin60° sin30°+ cos30° cos60°

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उत्तर

sin60° sin30°+ cos30° cos60°.

sin60° = `sqrt(3)/(2)`

sin30° = `(1)/(2)`

cos30° = `sqrt(3)/(2)`

cos60° = `(1)/(2)`

sin60° sin30° + cos30° cos60°

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

= `sqrt(3)/(4) + sqrt(3)/(4)`

= `(2sqrt(3))/(4)`

= `sqrt(3)/(2)`.

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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 1.01
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