मराठी

Given A = 60° and B = 30°, prove that : sin (A + B) = sin A cos B + cos A sin B - Mathematics

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प्रश्न

Given A = 60° and B = 30°,
prove that : sin (A + B) = sin A cos B + cos A sin B

बेरीज
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उत्तर

Given A = 60° and B = 30°

LHS = sin(A + B)
= sin (60° + 30°)
= sin 90°
= 1

RHS = sin A cos B + cos A sin B
= sin 60° cos 30° + cos 60° sin 30°

= `(sqrt3)/(2) (sqrt3)/(2) + (1)/(2) (1)/(2)`

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

= 1
LHS = RHS

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पाठ 23: Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios] - Exercise 23 (B) [पृष्ठ २९३]

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सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 23 Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]
Exercise 23 (B) | Q 1.1 | पृष्ठ २९३
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