الصيغة الجبرية والصيغة المثلثية للاعداد المركبة

a =

b =

θ = %v

ρ =

z

الصيغة الجبرية

θ = %v

الصيغة المثلثية

الصيغة الجبرية والصيغة 
المثلثية للاعداد المركبة

أدخل قيمة a وقيمة b

θ =

θ = 0.7853981633974483 rad (slider from 0 to 6.283185307179586, step 0.08726646259971647)
ρ = 3
a = 2
b = 3
campoInserimento1 = Textfield(a)
campoInserimento2 = Textfield(b)
z: a + (ί * b)
u = Vector((0, 0), z)
argomento: arg(z)
O = (0, 0)
A = Point(xAxis)
θ_{alg} = Angle(A, O, z)
modulo: abs(z)
campoInserimento3 = Textfield(ρ)
w: (ρ * (cos(θ) + (ί * sin(θ))))
v = Vector(O, w)
c = false
α = Angle(A, O, w)
d: x^(2) + y^(2) = ρ^(2)
e = true
B: (ρ; θ)
campoInserimento4 = Textfield(θ)
C: (a, b)
f = Segment(C, (x(C), 0))
g = Segment(C, (0, y(C)))
testo1: "\textcolor{#FF0000} \text{Algebraic form: } z =a+ ib=" + (LaTeX[SurdText[a]]) + " " + (LaTeX[If[b ≥ 0, "+", "-"]]) + "" + (LaTeX[SurdText[abs(b)]]) + "i \cr 
\text{  } \cr \text{  }\cr
\rho=\sqrt{a^2+b^2}=" + (LaTeX[SurdText[abs(z)]]) + " \text{        } cos\text{ } \theta=\frac{a}{\rho} \text{    }sin\text{ } \theta =\frac{b}{\rho} \cr 
 \text{  } \cr
\textcolor{#0000FF}\text{Trigonometric form: } z = " + (LaTeX[SurdText[abs(z)]]) + "(cos\text{ }" + (LaTeX[θ_{alg}]) + "+i\text{ }sin\text{ }" + (LaTeX[θ_{alg}]) + ")"
testo2: "\textcolor{#0000FF}\text{Trigonometric form: } \cr 
z =\rho (cos\text{ }\theta +i\text{ } sin\text{ }\theta)= " + (LaTeX[SurdText[ρ]]) + "(cos\text{ } " + (LaTeX[θ]) + "+i\text{ } sin\text{ } " + (LaTeX[θ]) + ") \cr \text{  } \cr 
\text{  } \cr 
a= \rho \text{ }cos \theta  \text{    }  b=\rho \text{ } sin \text{ } \theta  \cr \text{  } \cr 
\text{  } \cr 
\textcolor{#FF0000}\text{Algebraic form: } z = " + (LaTeX[(((ρ * cos(θ)) * If[(ρ * sin(θ)) ≥ 0, "+", "-"]) * abs((ρ * sin(θ))))]) + " ί "