9. Express the following complex numbers
in Exponential form:
1+i
(i)
(ii) – 1-i
1-i
Question
9. Express the following complex numbers
in Exponential form:
1+i
(i)
(ii) – 1-i
1-i
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Mathematics
2 years
2021-06-22T16:47:55+00:00
2021-06-22T16:47:55+00:00 1 Answers
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Answers ( )
Answer:
Express the following complex number in polar form and exponential form :
−1−
3
i
Answer
Given,
z=−1−
3
i
r=
(−1)
2
+(−
3
)
2
⇒r=2
θ=tan
−1
(
−1
−
3
)⇒θ=
3
π
Polar form z=r(cosθ+isinθ)=2(cos
3
π
+isin
3
π
)
Exponential form z=re
iθ
=2e
i
3
π