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Evaluate : sin 25° cos 65° + cos 25° sin 65°

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Evaluate :

sin 25° cos 65° + cos 25° sin 65°

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sin 25° cos 65° + cos 25° sin 65° 

= sin 25° cos (90° – 25°) + cos 25° sin (90° – 25°) 

= sin 25° sin 25° + cos 25° + cos 25° 

= sin2 25° + cos2 25° 

= 1. [∵ cos2 θ + sin2 θ = 1]

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