SOLUTION: Let z1=10(cos80+isin80) z2=5(cos100+isin100) Find z1 times z2 in trig and standard form find z1/z2 in trig and standard form thank you,kristi

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Let z1=10(cos80+isin80) z2=5(cos100+isin100) Find z1 times z2 in trig and standard form find z1/z2 in trig and standard form thank you,kristi      Log On


   

Question 21984: Let z1=10(cos80+isin80)
z2=5(cos100+isin100)
Find z1 times z2 in trig and standard form
find z1/z2 in trig and standard form
thank you,kristi
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
I haven't taught this for a LONG time (DECADES), but I think I remember it.

z1=10(cos80+isin80)
z2=5(cos100+isin100)
z1*z2 = 10*5 (cos180+i sin 180)= 50(-1) = -50

%28z1%29%2F%28z2%29=%2810%2F5%29%28cos+%28-20%29+%2B+i+sin+%28-20%29%29
=2(cos 20 - i sin 20)=1.879 -0.684

R^2 at SCC