Sr Examen
Otras calculadoras
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- La ecuación:
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Ecuación x^2-6x+9=0
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Ecuación (x-11)^4=(x+3)^4
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Ecuación √(x^2-1)^3=2*x
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Ecuación -x/12+x=55/12
- Expresar {x} en función de y en la ecuación:
- 18*x-11*y=2
- 12*x-14*y=20
- -3*x-20*y=-13
- -16*x+14*y=-9
- Suma de la serie:
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i-1
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Expresiones idénticas
- i*sinz+cosz=i- uno
- i multiplicar por seno de z más coseno de z es igual a i menos 1
- i multiplicar por seno de z más coseno de z es igual a i menos uno
- isinz+cosz=i-1
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Expresiones semejantes
- i*sinz+cosz=i+1
- i*sinz-cosz=i-1
- x^2-(sqrt(3)+(1/sqrt(3))*i)-1=0
- (a+b*i)*(a+b*i)-(1+i)*(a+b*i)+i=0
- (242+72*i)*(382+72*i)-(139+72*i)*(139+72*i)=73123+24912*i
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Expresiones con funciones
- sinz
- sinz=3+2*i
i*sinz+cosz=i-1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
I*sin(z) + cos(z) = I - 1
$$i \sin{\left(z \right)} + \cos{\left(z \right)} = -1 + i$$
Gráfica
Suma y producto de raíces
[src]
suma
2*re(atan(2 - I)) + 2*I*im(atan(2 - I))
$$2 \operatorname{re}{\left(\operatorname{atan}{\left(2 - i \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(2 - i \right)}\right)}$$
=
2*re(atan(2 - I)) + 2*I*im(atan(2 - I))
$$2 \operatorname{re}{\left(\operatorname{atan}{\left(2 - i \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(2 - i \right)}\right)}$$
producto
2*re(atan(2 - I)) + 2*I*im(atan(2 - I))
$$2 \operatorname{re}{\left(\operatorname{atan}{\left(2 - i \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(2 - i \right)}\right)}$$
=
2*re(atan(2 - I)) + 2*I*im(atan(2 - I))
$$2 \operatorname{re}{\left(\operatorname{atan}{\left(2 - i \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(2 - i \right)}\right)}$$
2*re(atan(2 - i)) + 2*i*im(atan(2 - i))
Respuesta rápida
[src]
z1 = 2*re(atan(2 - I)) + 2*I*im(atan(2 - I))
$$z_{1} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(2 - i \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(2 - i \right)}\right)}$$
z1 = 2*re(atan(2 - i)) + 2*i*im(atan(2 - i))
Respuesta numérica
[src]
z1 = 33.7721210260903 - 0.346573590279973*i
z2 = -60.4756585816035 - 0.346573590279973*i
z3 = -35.3429173528852 - 0.346573590279973*i
z4 = -79.3252145031423 - 0.346573590279973*i
z5 = 90.3207887907066 - 0.346573590279973*i
z6 = 46.3384916404494 - 0.346573590279973*i
z7 = 27.4889357189107 - 0.346573590279973*i
z8 = 96.6039740978861 - 0.346573590279973*i
z9 = -91.8915851175014 - 0.346573590279973*i
z10 = 14.9225651045515 - 0.346573590279973*i
z11 = 77.7544181763474 - 0.346573590279973*i
z12 = -29.0597320457056 - 0.346573590279973*i
z13 = -73.0420291959627 - 0.346573590279973*i
z14 = -16.4933614313464 - 0.346573590279973*i
z15 = -47.9092879672443 - 0.346573590279973*i
z16 = -41.6261026600648 - 0.346573590279973*i
z17 = -22.776546738526 - 0.346573590279973*i
z18 = 71.4712328691678 - 0.346573590279973*i
z19 = 84.037603483527 - 0.346573590279973*i
z20 = 8.63937979737193 - 0.346573590279973*i
z21 = -98.174770424681 - 0.346573590279973*i
z22 = -54.1924732744239 - 0.346573590279973*i
z23 = 65.1880475619882 - 0.346573590279973*i
z24 = 40.0553063332699 - 0.346573590279973*i
z25 = 58.9048622548086 - 0.346573590279973*i
z26 = -10.2101761241668 - 0.346573590279973*i
z27 = -85.6083998103219 - 0.346573590279973*i
z28 = 52.621676947629 - 0.346573590279973*i
z29 = 21.2057504117311 - 0.346573590279973*i
z30 = 2.35619449019234 - 0.346573590279973*i
z31 = -3.92699081698724 - 0.346573590279973*i
z32 = -66.7588438887831 - 0.346573590279973*i
z32 = -66.7588438887831 - 0.346573590279973*i