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Devise three unique parametric expressions for a circle with a radius of ' r . ' These expressions should originate from the point ( 0

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Devise three unique parametric expressions for a circle with a radius of \'r.\' These expressions should originate from the point (0,-r) and must meet the following conditions:
(a) Complete one full rotation around the circle in a clockwise direction, returning to the point (0,-r).
(b) Perform three complete rotations around the circle in a counter-clockwise direction, ending at the point (0,-r).

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