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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