for any integer n,the argument of z= ( √3+ i ) ^ ( 4n + 1) )/( ( 1- i √3) ) ^ ( 4n )
Vinay , 8 Years ago
Grade 11
Algebra> for any integer n,the argument of z= ( √3...
1 AnswersShashank Singh
by converting the above expression in euler form
2^(4n+1) [e^(ipi/6]/ 2^4n [e^(-ipi/3)
2 (e^i(pi/6+pi/3))
= 2e^ipi/2
so the argument is pi/2
2^(4n+1) [e^(ipi/6]/ 2^4n [e^(-ipi/3)
2 (e^i(pi/6+pi/3))
= 2e^ipi/2
so the argument is pi/2
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