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If A and B are acute angles such that sin A = cos B then (A + B) = ?

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Question

If A and B are acute angles such that sin A = cos B then (A + B) = ?

Options

  • 30°

  • 45°

  • 60°

  • 90°

MCQ
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Solution

90°

Explanation:

sin A = cos B

⇒ sin A = sin (90° – B) 

⇒ A = 90° – B

⇒ A + B = 90°

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Chapter 12: Trigonometric Ratios of Some Complemantary Angles - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 594]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 12 Trigonometric Ratios of Some Complemantary Angles
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 16. | Page 594
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