Select and write the correct answer from...

Select and write the correct answer from the given alternatives in each of the following: If `(1 + 2i) / (2 + i) = r (cos theta + i sin theta)`, then

A

a) `r = 1, theta = tan^-1 (3/ 4)`

B

b) `r = sqrt(5), theta = tan^-1 ( 4 / 3)`

C

c) `r = 1, theta = tan^-1 (4 / 3)`

D

d) none of these

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