Evaluate sin 25 cos 65 + cos 25 sin 65 = ?

sin 25° cos 65° + cos 25° sin 65°

= sin 25° cos (90° – 25°) + cos 25° sin (90° – 65°)

= sin 25° sin 25° + cos 25° cos 25°

= sin2 25° + cos2 25°

= 1 [By trigonometry identity: sin2 x + cos2 x = 1]

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