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Evaluate the Following: (Sin 20∘)/(Cos 70∘) - Mathematics

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Question

Evaluate the following:

`(sin 20^@)/(cos 70^@)`

Solution

 Given that  `(sin 20^@)/(cos 70^@)`

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

`=> (sin 20)/(cos 70) = (sin(90 - 70))/cos 70`

`=> sin 20/cos 70 = cos 70/cos 70`

`=> sin 20/ cos 70 = 1`

Therefore `(sin 20^@)/(cos 70^@) = 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 1.1 | Page 52
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