1.

|. है () sin 25° cos 65° + cos 257 sin 65

Answer»

sin 25 cos 65 + cos 25 sin 65[using sin (90 - x) = cos x and cos(90 - x) = sin x] = sin 25 sin(90 - 65) + cos 25 cos (90 - 65)

= sin 25 sin 25 + cos 25 cos 25

= sin^2 25 + cos^2 25[using sin^2 x + cos^2 x = 1]

= 1



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