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Without using trigonometric tables, evaluate: (sin 26^circ)/(cos 64^circ)

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Question

Without using trigonometric tables, evaluate:

`(sin 26^circ)/(cos 64^circ)`

Evaluate
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Solution

Given: `(sin 26^circ)/(cos 64^circ)`

cos 64° = sin (90° – 64°) = sin 26°   ...(Using cos (90° – θ) = sin θ) 

Therefore, `(sin 26^circ)/(cos 64^circ) = (sin 26^circ)/(sin 26^circ)` 

= 1

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Chapter 12: Trigonometric Ratios of Some Complemantary Angles - EXERCISE 12 [Page 590]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 12 Trigonometric Ratios of Some Complemantary Angles
EXERCISE 12 | Q 1. (i) | Page 590
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