Prove that (sin 32° cos 58° + cos 32° sin 58°) = 1.

Consider L.H.S. = (sin 32° cos 58° + cos 32° sin 58°)

= sin 32° cos (90° – 32°) + cos 32° sin (90° – 32°)

= sin2 32° + cos2 32°

= 1

= R.H.S.

Hence, proved.

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