If cos(90degrees-x)=sqrt3/2, what is the sin x?

Here's one way of doing this

Cos (90 - x)  =  √3/2

Notice that  

Cos (30°)    = √3/2

So.....x must be  = 60°

So.....sin (60°)  = √3 / 2    !!!!!

Does that make sense, RP???