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

Devise three unique parametric expressions for a circle with a radius of

\'

. \'

These expressions should originate from the point

(0, -

)

and must meet the following conditions:

(

)

Complete one full rotation around the circle in a clockwise direction, returning to the point

(0, -

) .

(

)

Perform three complete rotations around the circle in a counter

-

clockwise direction, ending at the point

(0, -

) .

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