SOLUTION: Let z1 = 4(cos 7π/12 + i sin 7π/12) and z2 = 6(cos 5π/12 + i sin 5π/12) Find z1z2 and z1/z2 (Enter your answers in a + bi form.)

Algebra ->  Trigonometry-basics -> SOLUTION: Let z1 = 4(cos 7π/12 + i sin 7π/12) and z2 = 6(cos 5π/12 + i sin 5π/12) Find z1z2 and z1/z2 (Enter your answers in a + bi form.)      Log On


   

Question 1009000: Let
z1 = 4(cos 7π/12 + i sin 7π/12)
and
z2 = 6(cos 5π/12 + i sin 5π/12)
Find
z1z2 and z1/z2
(Enter your answers in
a + bi form.)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let
z1 = 4(cos 7π/12 + i sin 7π/12)
and
z2 = 6(cos 5π/12 + i sin 5π/12)
Find
z1z2 = 24(cos(pi) + i sin(pi) = 24[-1+i*0] = -24 + 0i
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z1/z2 = (2/3)(cos(pi/6) + isin(pi/6))
==
= (2/3)[sqrt(3)/2 + i(1/2)] = (sqrt)3/3 + i(1/2)
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(Enter your answers in
a + bi form.)
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Cheers,
Stan H.
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