The modulus of 2+i/4i+(1+i)^2?
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Solution
verified
Verified
=
4i+(1+i)2
2+i
⇒
4i+1−1+2i
2+i
6i
2+i
3i
1
+
6
1
6
1
−
3
i
z=
6
1
−
3
i
∣z∣=
36
1
+
9
1
=
6
5
principal Arg(2)= πtan
−1
(
V6
−V
3
)πtan
−1
(−2)
=π−tan
−1
(2)
=π−63.44
and arg(2)=2Kπ+π−63.44
=2(K+1)π−63.44
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