Question

求值域：f(x)=(1+根号3倍tanx)cosx,x属于[0,π\2]

Answer 1

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