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Evaluate the Following : Sin21∘/Cos69

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Question

Evaluate the following:

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

Evaluate
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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 10.36]

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R.D. Sharma Mathematics [English] Class 10
Chapter 10 Trigonometric Ratios
EXERCISE 10.3 | Q 1. (iii) | Page 10.36
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