what is the conjugates of 1-i/1+i
MissDeepika11:
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Answered by
12
Conjugate of 1-i/1+i=1+i/1-i
rationalise the denominator :
=(1+i)×(1+i)/(1-i)×(1+i)
=(1+i²+2i) /1-i²
[Using i²=-1]
=(1-1+2i)/1-(-1)
=2i/2
=i
=0+i (STANDARD FORM)
rationalise the denominator :
=(1+i)×(1+i)/(1-i)×(1+i)
=(1+i²+2i) /1-i²
[Using i²=-1]
=(1-1+2i)/1-(-1)
=2i/2
=i
=0+i (STANDARD FORM)
Answered by
9
Answer:
Step-by-step explanation:
(1-i/1+i)×(1-i /1-i)
=1-2i+i²/1-i²
=1-2i-1/1+1 (I²=-1)
=-2i/2
=-i
Conjugate of -i is i
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