1.
sinx=4/5 x∈[兀/2,兀]
cosx=-3/5
f(x)=2sin(x+兀/6)-2cosx
=√3sinx+cosx-2cosx
=√3sinx-cosx=√3*4/5+3/5
=4√3+3/5
2.
f(x)=2sin(x+兀/6)-2cosx
=√3sinx-cosx
=2sin(x-兀/6)
x∈[兀/2,兀]
当x=2兀/3时,f(x)=2
当x=兀时,f(x)=1
f(x)值域为[1,2]