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Evaluate the Following : Sin21∘/Cos69 - Mathematics

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Question

Evaluate the following :

`(sin 21^@)/(cos 69^@)`

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Solution

Given that `(sin 21^@)/(cos 69^@)`

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

`=> (sin 21)/(cos 69) = sin(90 - 69)/cos 69`

`=> sin 21/cos 69 = cos 69/cos 69`

`=> sin 21/cos 69 = 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 1.3 | Page 52
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