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If sin x = cos y; write the relation between x and y, if both the angles x and y are acute - Mathematics

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Question

If sin x = cos y; write the relation between x and y, if both the angles x and y are acute.

Sum

Solution

sin x = cos y = sin (90° – y )
if x and y are acute angles,
x = 90° – y
⇒ x + y = 90
Hence x and y are complement angles 

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Chapter 23: Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios] - Exercise 23 (A) [Page 291]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 23 Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]
Exercise 23 (A) | Q 7.4 | Page 291

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