217380 - page 220
- 210 –
-
Forma polar
Operaciones
Igualdad.-
(
) (
)
π
θ
θ
θ
θ
θ
θ
n2
y
r r
sen
j cos r
sen
j cos r
2
1
2 1
2
2
2
1
1
1
+ =
=∴ +
=
+
Suma.-
(
) (
) (
) (
)
2
2 1
1
2
2 1
1
2
2
2
1
1
1
sen
r
sen rj
cos r
cos r
sen j
cos r
sen
j cos r
θ
θ
θ
θ
θ
θ
θ
θ
+
+
+
=
+
+
+
Resta.-
(
) (
) (
) (
)
2
2 1
1
2
2 1
1
2
2
2 1
1
1
sen r -
sen rj
cos r -
cos r
sen j
cos r -
sen
j cos r
θ
θ
θ
θ
θ
θ
θ
θ
+
=
+
+
Producto.-
(
) (
)
(
)
(
)
[
]
2
1
2
1
2 1
2
2
2 1
1
1
sen j
cos r r
sen
j
cos r
sen j cos r
θ
θ
θ
θ
θ
θ
θ
θ
+
+ +
⋅ =
+
⋅
+
Cociente.-
(
)
(
)
(
)
(
[
]
2 1
2 1
2
1
2
2
2
1
1
1
-
sen j -
cos
r
r
sen j
cos r
sen j
cos r
θ
θ
θ
θ
θ
θ
)
θ
θ
+
=
+
+
Conjugado.-
(
)
θ
θ
sen j -
cos r z
*
=
Suma de conjugados.-
(
) (
)
θ
θ
θ
θ
θ
cos r 2
sen j -
cos r
sen j
cos r z z
*
=
+
+
= +
Resta de conjugados.-
(
) (
)
θ
θ
θ
θ
θ
sen jr 2
sen j -
cos r -
sen j
cos r z - z
*
=
+
=
Producto de conjugados.-
(
) (
)
2
*
r
sen j -
cos r
sen j
cos r zz
=
⋅
+
= ⋅
θ
θ
θ
θ
-
Fasores (vector polar)
(
)
θ
θ
θ
∠=
+
=
r
sen j
cos r z
Producto.-
(
) (
)
2
1
2 1
2 2
1 1
r r
r
r
θ
θ
θ
θ
+∠⋅ = ∠ ⋅
∠
Cociente.-
2 1
2
1
2 2
1 1
-
r
r
r
r
θ
θ
θ
θ
∠=
∠
∠
Raíz enésima.-
n
r
r
n
n
θ
θ
∠ =∠
Potenciación.-
(
)
θ
θ
n r
r
n
n
∠= ∠
1...,210,211,212,213,214,215,216,217,218,219
221,222,223,224,225,226,228-229,230,231,232,...266
