Modern Algebra problem (about complex number)?
My professor gave me a problem set about complex number. I don't know how to solve this.
(2Cis π/4) (5Cis 3π/2)
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My professor gave me a problem set about complex number. I don't know how to solve this.
(2Cis π/4) (5Cis 3π/2)
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Verified answer
(2X5)(Cis(π/4)(Cis(3π/2)
use the result cis(A)cis(B)=cis(A+B) to complete giving
10cis(π/4 + 3π/2)=10cis(7π/4)
You can now evaluate the cis(7π/4)
cos(7π/4) + isin(7π/4)
1/√2 - i/√2
10(1/√2 - i/√2)
or
5√2(1-i)
= 10 Cis 7pi/4
Cis x = e^(i.x)