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If sec 4A = cosec (A− 20°), where 4A is an acute angle, find the value of A. - Mathematics

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Question

If sec 4A = cosec (A− 20°), where 4A is an acute angle, find the value of A.

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Solution

Given that,

sec 4A = cosec (A − 20°)

cosec (90° − 4A) = cosec (A − 20°)

90° − 4A= A− 20°

110° = 5A

A = 22°

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Chapter 8: Introduction to Trigonometry - Exercise 8.3 [Page 189]

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NCERT Mathematics [English] Class 10
Chapter 8 Introduction to Trigonometry
Exercise 8.3 | Q 5 | Page 189
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