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If sec 4A = cosec (A− 20°), where 4A is an acute angle, find the value of A. - CBSE Class 10 - Mathematics

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Question

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

Solution

Given that,

sec 4A = cosec (A − 20°)

cosec (90° − 4A) = cosec (A − 20°)

90° − 4A= A− 20°

110° = 5A

A = 22°

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 8: Introduction to Trigonometry
Ex. 8.30 | Q: 5 | Page no. 189
Solution If sec 4A = cosec (A− 20°), where 4A is an acute angle, find the value of A. Concept: Trigonometric Ratios of Complementary Angles.
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