tan2分之x=3,则sinx

问题描述:

tan2分之x=3,则sinx

tan(2分之x)=3,
sin(x/2)=3cos(x/2)
9cos²(x/2)+cos²(x/2)=1
cos(x/2)=±(根号10)/10
sin(x/2)=±3(根号10)/10
sinx=2sin(x/2)cos(x/2)=2*3/10=3/5