Find the quotient \frac{z_{1}}{z_{2}} of the complez numbers z_{1}50(\cos80^{\circ}+i\sin80^{\circ}) and z_{2}=4(\cos25^{\circ}+i\sin25^{\circ} Leave answers in polar form.

Betsy Rhone

Betsy Rhone

Answered question

2022-01-16

Find the quotient
z1z2
of the complez numbers
z150(cos80+isin80)
and
z2=4(cos25+isin25
Leave answers in polar form.

Answer & Explanation

hysgubwyri3

hysgubwyri3

Beginner2022-01-17Added 43 answers

Step 1
So rewriting the complex numbers,
z1=50(cos80+isin80)
=50(ei80)
and
z2=4(cos25+isin25)
=4(ei25)
Step 2
Finding quotient z1z2 using above results, we get
z1z2=50(ei80)4(ei25)
=252ei80i25
=252ei55
=252(cos55+isin55)
Hence, value of quotient z1z2 is 252(cos55+isin55)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?