graph of sin(90-x): Desmos calculator returns wrong graph...?

That site assumes angles are in radians, not degrees. To graph sin(90- x) in degrees, replace it with sin((π/180)(90x))\displaystyle sin((\pi/180)(90- x)). Also, in order to see the graph properly, on that website you will need to expand the x-axis to, say, -180 to 180.
 
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sin(90-x) = cosx but when I plot the graph of sin(90-x) in www.desmos.com/calculator , the graph given has (0, 0.894) as the y intercept. Why doesn't it show the graph of cosx?

It may be that the calculator is in radian mode...try plotting:

y=sin(π2x)\displaystyle \displaystyle y=\sin\left(\frac{\pi}{2}-x\right)
 
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