We will use the identity to help us. Since , we can determine that (since sine was defined in the 2nd quadrant). Plugging this into the identity, we have:
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I'm going to conclude that falls in the 4th quadrant, since . Since the opposite is negative, it will reside either in the 3rd or 4th quadrants. Since the adjacent is positive, it will reside in the 1st or 4th quadrants. Thus, the value of satisfies the conditions for it to be in the 4th quadrant.
Hope this helped you out!