sin(2π-α)
=-sina=4/5
sina=-4/5
∵α∈(3π/2,2π)
∴cosa>0
cosa=√(1-sin^2a)=3/5
tana=sina/cosa=-4/3
2
(sinα +cosα)/(sinα -cos)
=cosa(tana+1)/cosa(tana-1)
=(-4/3+1)/(-4/3-1)
=-1/3 / -7/3
=1/7
sin(2π-α)
=-sina=4/5
sina=-4/5
∵α∈(3π/2,2π)
∴cosa>0
cosa=√(1-sin^2a)=3/5
tana=sina/cosa=-4/3
2
(sinα +cosα)/(sinα -cos)
=cosa(tana+1)/cosa(tana-1)
=(-4/3+1)/(-4/3-1)
=-1/3 / -7/3
=1/7