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Find the set of values of `alpha` in the interval [ `pi/2,3pi/2`], for which the point (`sin alpha, cos alpha`)does not exist outside the parabola `2 y^2 + x - 2 = 0`

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`2y^2+x-2=0`
`f(x,y)=2y^2+x-2`
`f(0,0)=0+0-2<0`<br> `f(h,k)=2k^2+h-2<=0`<br> `2cos^alpha+sinalpha-2<=0`<br> `2-2sin^2alpha+sinalpha-2<=0`<br> `sinalpha(2sinalpha-1)>=0`
`alpha in [pi/2,5/6pi]uu[pi,3/2pi]`.

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