Find the trigonometric form of the complex number

Question

4-i

Write the trigonometric form of the complex number. (Round your angles to two decimal places. Let 0 ≤ 𝜃 < 2𝜋.)

Answer 1

plot -i on the y axis and 4 on the x axis

It forms an angle whose tangent = -1/4

the angle = -14 degrees = tan^-1(-1/4) = 346 degrees = 1.9 pi radians

the hypotenuse = sqr(4^2 + 1) = sqr17 = 4.12

the angle and distance r = 4.12 are equivalent to 4-i