Question

find arguement of 7-4i​

Answer 1

Rectangular form:

z = 7-4i

Angle notation (phasor):

z = 8.0622577 ∠ -29°44'42″

Polar form:

z = 8.0622577 × (cos (-29°44'42″) + i sin (-29°44'42″))

Exponential form:

z = 8.0622577 × ei (-0.1652493)

Polar coordinates:

r = |z| = 8.0622577 ... magnitude (modulus, absolute value)

θ = arg z = -0.5191461 rad = -29.74488° = -29°44'42″ = -0.1652493π rad ... angle (argument or phase)

Cartesian coordinates:

Cartesian form of imaginary number: z = 7-4i

Real part: x = Re z = 7

Imaginary part: y = Im z = -4