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415. assignment (relationship between rectangular and rotational coordinates )

The relationship between rectangular and rotational coordinates can be represented by the vector equation
r = xi+yj=rcos(theta)i+rsin(theta)j


 

What value(s) of θ make(s)   maximum?

 

π/2, 0, π, π /4, 3 π /4, 5 π /4, π /3, 3 π /2


What value(s) of  θ  make(s)   ?

 

3 π /2, π /2, π, 0, π /4, 3 π /4, 7 π /4, 5 π /4, π /3

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