मराठी

If A = B = 45° , show that: cos (A + B) = cos A cos B - sin A sin B - Mathematics

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प्रश्न

If A = B = 45° ,
show that:
cos (A + B) = cos A cos B - sin A sin B

बेरीज
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उत्तर

Given that A = B = 45°

LHS = cos (A +  B)

= cos ( 45° + 45°)

= cos 90°

= 0

RHS = cos A cos B – sin A sin B

= cos 45° cos 45° – sin 45° sin 45°

= `(1)/(sqrt2) (1)/(sqrt2) – (1)/(sqrt2) (1)/(sqrt2)`

= 0

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 3.2 | पृष्ठ २९३
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