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Without using trigonometric tables, prove that: cos 81° – sin 9° = 0

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Question

Without using trigonometric tables, prove that:

cos 81° – sin 9° = 0

Theorem
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Solution

LHS = cos 81° − sin 9° = 0

= `cos (90^circ - 9^circ) - sin 9^circ`

= `sin 9^circ - sin 9^circ`

= 0

= RHS

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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 2. (i) | Page 590
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