Express 5-2i in polar form. express your answer in radians to teh nearest hundreth.?

Answer 1

The magnitude or modulus is equal to sqrt(5^2 + 2^2) = sqrt(25 + 4) = sqrt(29) = 5.39. The angle or argument will be arctan(2/5) = 0.38, but falls in the fourth quadrant so will be -0.38. That means that the number is 5.39*e^(-0.38i).

Answer 2

r = √ (5² + 2² ) = √29

tanθ = 2/5 in the 4th quadrant

θ = - 0.38 radians

Answer 3

r = √(5² + 2²) = √29
Ø = Tan^(-1) (-2)/5 = - 0.38 radians (4th quadrant)
5 - 2i = √29 at angle - 0.38 radians