Which phrase describes how to divide a complex number z by r times open paren cosine theta plus i sine theta close paren ?

Dividing by r(cos θ + i sin θ) is the same as multiplying by its reciprocal, which is (1/r)(cos θ − i sin θ). The factor 1/r scales the complex number by 1/r, and the angle −θ rotates it clockwise by θ. Therefore, the correct description is “Scale by a factor of 1 over r and rotate clockwise by theta.”

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