SOLUTION: find the product z1z2 and the quotient z1/z3. Express your answer in polar form. {{{ z1= sqrt(2)(cos(5pi/3)+isin(5pi/3)) }}} {{{ z2= 2*sqrt(2)(cos(3pi/2)+isin(3pi/2)) }}}

Algebra ->  Trigonometry-basics -> SOLUTION: find the product z1z2 and the quotient z1/z3. Express your answer in polar form. {{{ z1= sqrt(2)(cos(5pi/3)+isin(5pi/3)) }}} {{{ z2= 2*sqrt(2)(cos(3pi/2)+isin(3pi/2)) }}}      Log On


   

Question 1043085: find the product z1z2 and the quotient z1/z3. Express your answer in polar form.

+z1=+sqrt%282%29%28cos%285pi%2F3%29%2Bisin%285pi%2F3%29%29+
+z2=+2%2Asqrt%282%29%28cos%283pi%2F2%29%2Bisin%283pi%2F2%29%29+
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find the product z1z2 and the quotient z1/z3. Express your answer in polar form.

+z1=+sqrt%282%29%28cos%285pi%2F3%29%2Bisin%285pi%2F3%29%29+
z1 = sqrt(2) cis(5pi/3)
+z2=+2%2Asqrt%282%29%28cos%283pi%2F2%29%2Bisin%283pi%2F2%29%29+
z2 = 2sqrt(2)cis(3pi/2)
=================
z1*z2 = 4cis(8pi/2) = 4
----
z1/z2 = (1/2)cis(pi) = -1/2
========
z3 not given.