Verified answer

-1≤sin t≤1,

-3≤3sin t≤3,

1≤3sin t+4≤7,

max=7;

(sin^ α - 2cos^ α)/(3sin α cos α - cos^ α)=sin^ α(1- 2ctg^ α)/(sin^ α(3ctg α - ctg^ α))=(1- 2*2^)/(3*2 - 2^)=-3,5;

-1≤sin t≤1,

-2≤2sin t≤2,

0≤2sin t+2≤4,

max=4