Question

化简：sin50度(1+根3tan10度)

Answer 1

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