EXERCISE 5.4I. Find the modulus and principal argument of the followin

1.	EXERCISE 5.4I. Find the modulus and principal argument of the following complex numbers and ethem in modulus amplitude form :ii) 2i-1620zu1-(1-i2
Answer» iv) -16/1+i√3. on rationalizing it with 1-√3i we get. -16*(1-√3i)/(1)²+(√3)² = 16(√3i-1)/4 = 4√3i -4. so, the module is √(4√3)² +(4)² =√48+16 = 8. and principal argument is ∅ = tan^-1(-√3) = -π/3.

EXERCISE 5.4I. Find the modulus and principal argument of the following complex numbers and ethem in modulus amplitude form :ii) 2i-1620zu1-(1-i2

Answer»

iv) -16/1+i√3.

on rationalizing it with 1-√3i we get. -16*(1-√3i)/(1)²+(√3)² = 16(√3i-1)/4 = 4√3i -4.

so, the module is √(4√3)² +(4)² =√48+16 = 8.

and principal argument is ∅ = tan^-1(-√3) = -π/3.