Question

What is the quotient of these complex numbers? (8-6i)/(3-i)

Answer 1

Answer: z = 6i / (4+3i)

Step-by-step explanation: Rectangular form:

z = 0.72+0.96i

Angle notation (phasor):

z = 1.2 ∠ 53°7'48″

Polar form:

z = 1.2 × (cos 53°7'48″ + i sin 53°7'48″)

Exponential form:

z = 1.2 × ei 0.2951672

Polar coordinates:

r = |z| = 1.2  magnitude (modulus, absolute value)

θ = arg z = 53.1301° = 53°7'48″ = 0.2951672π  angle (argument or phase)

Cartesian coordinates:

Cartesian form of imaginary number: z = 0.72+0.96i

Real part: x = Re z = 0.72

Imaginary part: y = Im z = 0.96

Hope this helps!

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~Jarvis