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Without Using Trigonometric Tables, Prove That: Cos 81° − Sin 9° = 0 - Mathematics

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Question

Without using trigonometric tables, prove that:

cos 81° − sin 9° = 0

Sum
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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 7: Trigonometric Ratios of Complementary Angles - Exercises [Page 312]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 7 Trigonometric Ratios of Complementary Angles
Exercises | Q 2.1 | Page 312
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