If 2Sinz+2Cosx=1.5.find Sinx+Cosx
if the z is a typo, then you just have
2(sinx+cosx) = 3/2
sinx+cosx = 3/4
If the z is for real, then
sinz + cosx = 3/4
cosx = 3/4 - sinz
sinx = sqrt(1 - cos^2(x))
= sqrt(1 - (3/4 - sinz)^2)
now just add sinx+cosx