化简:sin50度(1+根3tan10度)

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化简:sin50度(1+根3tan10度)
化简:sin50度(1+根3tan10度)

化简:sin50度(1+根3tan10度)
sin(50)*(1+sqrt(3)*tan(10))
=2*sin(50)/cos(10)*(1/2*cos(10)+sqrt(3)/2*sin(10))
=2*sin(50)/cos(10)*(cos(60)*cos(10)+sin(60)*sin(10))
=2*sin(50)/cos(10)*cos(50)
=2*sin(50)*cos(50)/cos(10)
=sin(100)/cos(10)
=cos(10)/cos(10)
=1