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If sec 4A = cosec (A – 10°) and 4A is acute then A = ?

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Question

If sec 4A = cosec (A – 10°) and 4A is acute then A = ?

Options

  • 20°

  • 25°

  • 30°

  • 40°

MCQ
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Solution

20°

Explanation:

sec 4A = cosec (A – 10°) 

⇒ cosec (90° – 4A) = cosec (A – 10°) 

⇒ 90° – 4A = A – 10° 

⇒ 5A = 100° 

⇒ A = 20°

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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 19. | Page 594
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