Sr Examen

Otras calculadoras


sin(x)=-6

sin(x)=-6 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(x) = -6
sin(x)=6\sin{\left(x \right)} = -6
Solución detallada
Tenemos la ecuación
sin(x)=6\sin{\left(x \right)} = -6
es la ecuación trigonométrica más simple
Como el miembro derecho de la ecuación
en el módulo =
True

pero sin
no puede ser más de 1 o menos de -1
significa que la ecuación correspondiente no tiene solución.
Gráfica
0-80-60-40-2020406080-100100-1010
Respuesta rápida [src]
x1 = pi + I*im(asin(6)) + re(asin(6))
x1=re(asin(6))+π+iim(asin(6))x_{1} = \operatorname{re}{\left(\operatorname{asin}{\left(6 \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(6 \right)}\right)}
x2 = -re(asin(6)) - I*im(asin(6))
x2=re(asin(6))iim(asin(6))x_{2} = - \operatorname{re}{\left(\operatorname{asin}{\left(6 \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(6 \right)}\right)}
x2 = -re(asin(6)) - i*im(asin(6))
Suma y producto de raíces [src]
suma
pi + I*im(asin(6)) + re(asin(6)) + -re(asin(6)) - I*im(asin(6))
(re(asin(6))+π+iim(asin(6)))+(re(asin(6))iim(asin(6)))\left(\operatorname{re}{\left(\operatorname{asin}{\left(6 \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(6 \right)}\right)}\right) + \left(- \operatorname{re}{\left(\operatorname{asin}{\left(6 \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(6 \right)}\right)}\right)
=
pi
π\pi
producto
(pi + I*im(asin(6)) + re(asin(6)))*(-re(asin(6)) - I*im(asin(6)))
(re(asin(6))iim(asin(6)))(re(asin(6))+π+iim(asin(6)))\left(- \operatorname{re}{\left(\operatorname{asin}{\left(6 \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(6 \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(6 \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(6 \right)}\right)}\right)
=
-(I*im(asin(6)) + re(asin(6)))*(pi + I*im(asin(6)) + re(asin(6)))
(re(asin(6))+iim(asin(6)))(re(asin(6))+π+iim(asin(6)))- \left(\operatorname{re}{\left(\operatorname{asin}{\left(6 \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(6 \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(6 \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(6 \right)}\right)}\right)
-(i*im(asin(6)) + re(asin(6)))*(pi + i*im(asin(6)) + re(asin(6)))
Respuesta numérica [src]
x1 = 4.71238898038469 - 2.47788873028848*i
x2 = -1.5707963267949 + 2.47788873028848*i
x2 = -1.5707963267949 + 2.47788873028848*i
Gráfico
sin(x)=-6 la ecuación