+65-85483705

# Products and quotients of complex numbers

### Products and quotients of complex numbers (Question)

Given that z1 = 3 + i and z2 = 2-3i. Determine the following in the form of r(cos x + sin x i).

1. z1z2
2. z1/z2

Guide:

|z1z2| = r1r2, arg(z1z2) = x1 + x2

|z1/z2| = r1/r2, arg(z1/z2) = x1 – x2

### Products and quotients of complex numbers (Answer)

1. √130(cos 0.789π + sin 0.789π i)
2. √(10/13)(cos -0.585π + sin -0.585π i)

## About Dr Loo - O-level & JC H2 math tutor

I am Dr Loo, a PhD holder with 8 years of teaching experience on secondary school and tertiary level specialize on mathematics and statistics. In addition, I also received teaching training under tertiary setting. Furthermore, I have published 5 research papers on international peer reviewed journals. If you are currently looking for secondary mathematics tuition or A-level math tuition in Singapore,​ I do provide O-level Math Tutoring & JC Math Tutoring (H1 Math Tuition Class & H2 Math Tuition Class).

Thus, for those who are looking for a JC Math Tutor (H1 Math tutor or H2 Math tutor) as well as O-level Math Tutor (E-math tutor or A-math tutor), you may contact me for my math tuition in Singapore. I can be contacted through SMS/Whatsapp/Telegram at +65-85483705.  