exam Maths Puzzle Numerical Ability

The point (-1/2,sqrt3/2) on the unit circle is rotated 60degrees clockwise. Determine the coordinates of the new point.
Please help.

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exam Other Question

a) Solve 2x^2=6 (my solution is x=sqrt3, -sqrt3.
b) Find the x-intercepts of f(x)=2x^2-6
Think of a real-life situation that can be translated to a polynomial function and solve the problem.