Take L.H.S

cos 40° cos 80° cos 160°

Multiplying & Dividing by 2:

{∵ 2 cos A cos B = cos (A + B) + cos (A – B)}

{∵ cos (180° - A) = - cos A & cos (180° + A) = - cos A}

Multiplying & Dividing by 2:

{∵ 2 cos A cos B = cos (A + B) + cos (A – B)}

{∵ cos (180° - A) = - cos A}

= R.H.S

Hence Proved