Q. 55.0( 3 Votes )

# Prove that:</

Answer :

Take L.H.S:

sin 65° + cos 65°

= sin 65° + sin (90° - 65°)

{sin (90° - A) = cos A}

= sin 65° + sin 25°   = 2 sin 45° cos 20°  = R.H.S

Hence Proved

ii. Take L.H.S:

sin 47° + cos 77°

= sin 47° + sin (90° - 77°)

{sin (90° - A) = cos A}

= sin 47° + sin 13°   = 2 sin 30° cos 17° = cos 17°

= R.H.S

Hence Proved

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