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Without Using Trigonometric Tables, Prove That: (Sin 65° + Cos 25°)(Sin 65° − Cos 25°) = 0 - Mathematics

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प्रश्न

Without using trigonometric tables, prove that:

(sin 65° + cos 25°)(sin 65° − cos 25°) = 0

बेरीज
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उत्तर

LHS = (sin 65° + cos 25°) (sin 65° − cos 25°) 

= `sin^2 65^circ - cos^2 25^circ`

= `sin^2 (90^circ - 25^circ) - cos^2 25^circ`

= `cos^2 25^circ - cos^2 25^circ`

= 0

= RHS

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पाठ 7: Trigonometric Ratios of Complementary Angles - Exercises [पृष्ठ ३१२]

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आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 7 Trigonometric Ratios of Complementary Angles
Exercises | Q 2.9 | पृष्ठ ३१२
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