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Answer»

Sin 420 = sin (360+60) = sin 60 =√3/2

cos 390 = cos (360+30) = cos 30 =√3/2

cos (-300) = cos 300 = cos(360 - 60) = cos 60 = 1/2

sin (-330) = sin (360 + (-330) ) = sin 30 = 1/2

Therefore, Sin 420.Cos 390 - Cos(-300).Sin(-330)=√3/2 *√3/2 - 1/2 * 1/2 = 3/4 - 1/4= (2/4) = 1/2



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