Question

Find the modulus and amplitude of the complex number -4-4i

Answer 1

modulus of complex no. is
let z = -4-4i
|z|= (-4)^2 +(-4)^2
= 16+16
= 32
where |z| is modulus of complex no.

argument of complex no. = z
Theta = -4/-4 {y/X}
theta = 1
(-4,-4) lies in 4th quardant
multiply l.s.h by tan
tan theta = 1
tan theta = tan ( 2π -π/4)
theta = 7π /4
therefore the regd. argument of -4-4i = 7π/4