Answer :
sin 78° - sin 66° - sin 42° + sin 6°
= (sin 78° - sin 42°) – (sin 66° - sin 6°)
= 2cos 60° sin 18° - 2cos 36° sin 30°
= 2 ⋅ 1/2 ⋅ sin 18° - 2 ⋅ 1/2 ⋅ cos 36°
= sin 18° - cos 36°
= 
= - 1/2 (Ans)
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