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Evaluate the Following : Cos19/Sin71 - Mathematics

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Question

Evaluate the following :

`cos 19^@/sin 71^@`

Solution

 Given that  `cos 19^@/sin 71^@`

`=> cos 19/sin 71 = cos(90 - 71)/sin 71`

`=> cos 19/sin 71 = sin 71/sin 71`

`=> cos 19/sin 71 = 1`

Since `cos (90 - theta) = sin theta`

Therefore `cos 19^@/sin 71^@` = 1

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Chapter 10: Trigonometric Ratios - Exercise 10.3 [Page 52]

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RD Sharma Mathematics [English] Class 10
Chapter 10 Trigonometric Ratios
Exercise 10.3 | Q 1.2 | Page 52
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