Sr Examen

Otras calculadoras

(2sinx-1)*(cos(x+pi/4))^(1/2)=0 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]
                   _____________    
                  /    /    pi\     
(2*sin(x) - 1)*  /  cos|x + --|  = 0
               \/      \    4 /     
$$\left(2 \sin{\left(x \right)} - 1\right) \sqrt{\cos{\left(x + \frac{\pi}{4} \right)}} = 0$$
Gráfica
Respuesta rápida [src]
     -3*pi
x1 = -----
       4  
$$x_{1} = - \frac{3 \pi}{4}$$
     pi
x2 = --
     6 
$$x_{2} = \frac{\pi}{6}$$
     pi
x3 = --
     4 
$$x_{3} = \frac{\pi}{4}$$
     5*pi
x4 = ----
      6  
$$x_{4} = \frac{5 \pi}{6}$$
x4 = 5*pi/6
Suma y producto de raíces [src]
suma
  3*pi   pi   pi   5*pi
- ---- + -- + -- + ----
   4     6    4     6  
$$\left(\left(- \frac{3 \pi}{4} + \frac{\pi}{6}\right) + \frac{\pi}{4}\right) + \frac{5 \pi}{6}$$
=
pi
--
2 
$$\frac{\pi}{2}$$
producto
-3*pi pi pi 5*pi
-----*--*--*----
  4   6  4   6  
$$\frac{5 \pi}{6} \frac{\pi}{4} \cdot - \frac{3 \pi}{4} \frac{\pi}{6}$$
=
     4
-5*pi 
------
 192  
$$- \frac{5 \pi^{4}}{192}$$
-5*pi^4/192
Respuesta numérica [src]
x1 = 52.8834763354282
x2 = -56.025068989018
x3 = 57.0722665402146
x4 = 84.2994028713261
x5 = -53.9306738866248
x6 = 71.733032256967
x7 = -93.7241808320955
x8 = 65.4498469497874
x9 = 90.5825881785057
x10 = 40.317105721069
x11 = 96.8657734856853
x12 = -74.8746249105567
x13 = 6.80678408277789
x14 = -3.66519142918809
x15 = 78.0162175641465
x16 = -37.1755130674792
x17 = 8.90117918517108
x18 = -5.75958653158129
x19 = 46.6002910282486
x20 = -97.9129710368819
x21 = 13.0899693899575
x22 = 19.3731546971371
x23 = -9.94837673636768
x24 = -49.7418836818384
x25 = 0.523598775598299
x26 = -16.2315620435473
x27 = 75.9218224617533
x28 = 34.0339204138894
x29 = -68.5914396033772
x30 = -24.60914245312
x31 = 27.7507351067098
x32 = 50.789081233035
x33 = 2.61799387799149
x34 = -41.3643032722656
x35 = -66.497044500984
x36 = 88.4881930761125
x37 = -43.4586983746588
x38 = -30.8923277602996
x39 = -60.2138591938044
x40 = 21.4675497995303
x41 = -12.0427718387609
x42 = -91.6297857297023
x43 = -47.6474885794452
x44 = 82.2050077689329
x45 = -87.4409955249159
x46 = -81.1578102177363
x47 = 101.054563690472
x48 = 44.5058959258554
x49 = 59.1666616426078
x50 = 15.1843644923507
x51 = 31.9395253114962
x52 = 94.7713783832921
x53 = -100.007366139275
x54 = -35.081117965086
x55 = -85.3466004225227
x56 = 38.2227106186758
x57 = 63.3554518473942
x58 = -22.5147473507269
x58 = -22.5147473507269