exam Maths Puzzle Numerical Ability

is a parrallelogram a rectangle-always,never,sometimes?

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Can you help me with this trigonometry problem?

Give 5 keypoints and sketch the graphs of
y=3Sin (x-pie/3) The points with coordinates (ab) (a',b') (a"b") are points of a parabola y=3x^2.
The numbers a,a',a" constitute an arithmetic sequence and b,b',b" form a geometric sequence. Calcu