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Grade 12Algebra

Please answer this question. Please answer this question.

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Profile image of Vamsi
9 Years agoGrade 12
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1 Answer

Profile image of Shahid
9 Years ago
(1+i)2017 / ( 1 – i)2015 
 
Divide and Multiply by \sqrt{2}  on both numerator and Denominator... we get
=(\sqrt{2}2017 (cis(45))2017 )   / (\sqrt{2}2015 (cis(-45))2015 ) 
=(\sqrt{2}2 (cis(2017x45))  )   /  (cis (2015x-45))
= 2 x  cis (45 x(2017 – 2015)) 
= 2 x cis (90)
= 2 x i
= 2i
 
Hope It was Helpful...