证明sin5X/sinX - cos5X/sinX = 4cos2X?
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证明Sin(5x)/sinx–Cos(5x)/Cosx=4Cos(2x)? Sol A=Sin(5x)/Sinx–Cos(5x)/Cosx ASinxCosx =Sin(5x)Cosx-Cos(5x)Sinx =Sin(5x-x) =Sin(4x) =Sin(2x+2x) =2Sin(2x)Cos(2x) A=2Sin(2x)Cos(2x)/(SinxCosx) =4Sin(2x)Cos(2x)/(2SinxCosx) =4Sin(2x)Cos(2x)/Sin(2x) =4Cos(2x)
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