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cos((п/2)+2x)=√(2sinx) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   /pi      \     __________
cos|-- + 2*x| = \/ 2*sin(x) 
   \2       /               
$$\cos{\left(2 x + \frac{\pi}{2} \right)} = \sqrt{2 \sin{\left(x \right)}}$$
Gráfica
Suma y producto de raíces [src]
suma
0
$$0$$
=
0
$$0$$
producto
1
$$1$$
=
1
$$1$$
1
Respuesta numérica [src]
x1 = 96.7839350425866 + 0.304688931718003*i
x2 = 52.8016378923295 + 0.304688931718003*i
x3 = -85.4284388656214 + 0.304688931718003*i
x4 = -47.7293270225439 - 0.304688931718003*i
x5 = -10.0302151794664 - 0.304688931718003*i
x6 = 59.0848231995091 + 0.304688931718003*i
x7 = 90.500749735407 - 0.304688931718003*i
x8 = -28.8797711010051 + 0.304688931718003*i
x9 = 65.3680085066887 - 0.304688931718003*i
x10 = -72.8620682512622 + 0.304688931718003*i
x11 = 84.2175644282274 + 0.304688931718003*i
x12 = 8.81934074207241 + 0.304688931718003*i
x13 = 21.3857113564316 + 0.304688931718003*i
x14 = -10.0302151794664 + 0.304688931718003*i
x15 = 71.6511938138683 - 0.304688931718003*i
x16 = -91.711624172801 - 0.304688931718003*i
x17 = -35.1629564081847 + 0.304688931718003*i
x18 = -97.9948094799806 + 0.304688931718003*i
x19 = -35.1629564081847 - 0.304688931718003*i
x20 = -66.5788829440826 - 0.304688931718003*i
x21 = 40.2352672779703 + 0.304688931718003*i
x22 = 27.6688966636112 - 0.304688931718003*i
x23 = 96.7839350425866 - 0.304688931718003*i
x24 = -79.1452535584418 - 0.304688931718003*i
x25 = 2.53615543489282 - 0.304688931718003*i
x26 = 33.9520819707908 + 0.304688931718003*i
x27 = 77.9343791210479 + 0.304688931718003*i
x28 = 15.102526049252 - 0.304688931718003*i
x29 = 8.81934074207241 - 0.304688931718003*i
x30 = -79.1452535584418 + 0.304688931718003*i
x31 = -3.74702987228677 - 0.304688931718003*i
x32 = -22.5965857938255 - 0.304688931718003*i
x33 = -60.295697636903 - 0.304688931718003*i
x34 = 0.0
x35 = -22.5965857938255 + 0.304688931718003*i
x36 = 46.5184525851499 - 0.304688931718003*i
x37 = -54.0125123297235 + 0.304688931718003*i
x37 = -54.0125123297235 + 0.304688931718003*i