Find the quotient z1z2 of the complez numbers z150(cos⁡80∘+isin⁡80∘) and z2=4(cos⁡25∘+isin⁡25∘ Leave answers in polar...

Betsy Rhone

Betsy Rhone

Answered

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

Expert

2022-01-17Added 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)

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