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If 2Sinz+2Cosx=1.5.find Sinx+Cosx

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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
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