1. 2. Realne funkcije realne varijable - FESB
1. 2. Realne funkcije realne varijable - FESB
1. 2. Realne funkcije realne varijable - FESB
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Primjer Neka su z 1 = 1 i i z 2 = 1 2 + p 3<br />
2<br />
i: Tada je<br />
z 1 = p <br />
2 cos 5 4 + i sin 5 <br />
4<br />
r 2 = jz 2 j =<br />
v<br />
u<br />
t 2<br />
1<br />
+<br />
2<br />
p ! 2<br />
3<br />
= 1;<br />
2<br />
pa je<br />
tg' 2 =<br />
p<br />
3<br />
2<br />
1<br />
2<br />
z 2 = 1 <br />
= p 3 =) ' 2 = 2 3 ;<br />
<br />
cos 2 3 + i sin 2 3<br />
<br />
:<br />
Sada je<br />
z 1 z 2 = p 2 1<br />
5<br />
cos<br />
4 + 2 <br />
3<br />
= p <br />
2 cos 23<br />
<br />
23<br />
+ i sin<br />
12 12 <br />
5<br />
+ i sin<br />
4 + 2 <br />
3