(1)若 cosa+2sina=-√5,则 tana=

cosa=x/r
sina=y/r
x^2+y^2=r^2
x/r+2y/r=-√5
x+2y=-√5r
x^2+4xy+4y^2=5r^2=5x^2+5y^2
4x^2-4xy-y^2=0
(2x-Y)^2=0
2x=y
x/y=1/2
tana=x/y=1/2