Question

Find the modulus and amplitude where z is equal to (1+i)(2+i)/(3+i)

Answer 1

Answer:amplitude =37 degrees

modulus=1

Step-by-step explanation:

multiply numerator and denominator by(3-i)

you will get (1+i)(2+i)(3-i)/3^2-(i)^2

=8i+6/10=4i/5+3/5

therefor cos theta=4/5 and sin theta=3/5 therefore(amplitude) theta=37 degrees

and modulus is one as you can see