Question

3/i + 4/(i ^ 2) + 5/(i ^ 3) + 6/(i ^ 4)
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Answer 1

Rectangular form:

z = -1.2-0.6i

Angle notation (phasor):

z = 1.3416408 ∠ -153°26'6″

Polar form:

z = 1.3416408 × (cos (-153°26'6″) + i sin (-153°26'6″))

Exponential form:

z = 1.3416408 × ei -2.677945 = 1.3416408 × ei (-0.8524164) π

Polar coordinates:

r = |z| = 1.3416408 ... magnitude (modulus, absolute value)

θ = arg z = -2.677945 rad = -153.43495° = -153°26'6″ = -0.8524164π rad ... angle (argument or phase)

Cartesian coordinates:

Cartesian form of imaginary number: z = -1.2-0.6i

Real part: x = Re z = -1.2

Imaginary part: y = Im z = -0.6

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