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Solution for Evaluate sin25° cos65° + cos25° sin65° - CBSE Class 10 - Mathematics

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Question

 Evaluate sin25° cos65° + cos25° sin65°

Solution

sin25° cos65° + cos25° sin65°

=(sin 25°) {cos(90°-25°)}+cos 25°{sin(90°-25)}

=(sin 25°)(sin 25°) + (cos 25°)(cos 25°)

= sin225° + cos225°

= 1 (As sin2A + cos2A = 1)

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Solution Evaluate sin25° cos65° + cos25° sin65° Concept: Trigonometric Identities.
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