求值域：f(x)=(1+根号3倍tanx)cosx,x属于[0,π\2]

求值域：f(x)=(1+根号3倍tanx)cosx,x属于[0,π\2]
求值域：f(x)=(1+根号3倍tanx)cosx,x属于[0,π\2]

求值域：f(x)=(1+根号3倍tanx)cosx,x属于[0,π\2]
t=sqrt(x);
cos(x)=1/sqrt(1+t^2);
f(x)=(1+sqrt(3))/sqrt(1+t^2);
sinq=1/sqrt(1+t^2);
cosq=t/sqrt(1+t^2); q[0,pi/2]
f(x)=sinq+sqrt(3)*cosq
=2*sin(q+pi/3)
1