Sr Examen

Otras calculadoras

(sinx+cosx)^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]
                 2    
(sin(x) + cos(x))  = 0
$$\left(\sin{\left(x \right)} + \cos{\left(x \right)}\right)^{2} = 0$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      4  
$$x_{1} = - \frac{\pi}{4}$$
     3*pi
x2 = ----
      4  
$$x_{2} = \frac{3 \pi}{4}$$
x2 = 3*pi/4
Suma y producto de raíces [src]
suma
  pi   3*pi
- -- + ----
  4     4  
$$- \frac{\pi}{4} + \frac{3 \pi}{4}$$
=
pi
--
2 
$$\frac{\pi}{2}$$
producto
-pi  3*pi
----*----
 4    4  
$$- \frac{\pi}{4} \frac{3 \pi}{4}$$
=
     2
-3*pi 
------
  16  
$$- \frac{3 \pi^{2}}{16}$$
-3*pi^2/16
Respuesta numérica [src]
x1 = -73.0420294459387
x2 = -76.1836225361187
x3 = -44.7676950635734
x4 = 18.0641575837788
x5 = 68.3296401645238
x6 = 55.7632697511726
x7 = -88.7499922112266
x8 = 62.0464548195549
x9 = -22.7765468685351
x10 = -60.4756583509459
x11 = 40.0553062099627
x12 = 87.1791959595656
x13 = 5.49778738042301
x14 = 58.9048620635881
x15 = 52.6216767646073
x16 = 33.7721211721652
x17 = -54.1924731445711
x18 = -35.3429178934093
x19 = -0.785398304611266
x20 = -51.0508806461775
x21 = -29.0597322955756
x22 = 80.896010582516
x23 = -44.7676954314418
x24 = -29.0597320982225
x25 = -91.8915845717239
x26 = -76.1836217239439
x27 = -0.785397916651749
x28 = -63.6172513149926
x29 = 90.3207887447523
x30 = -73.0420291965934
x31 = 58.9048620066655
x32 = 30.6305281863893
x33 = -16.4933611966261
x34 = -3.92699107594367
x35 = -82.4668069282144
x36 = 36.9137135281996
x37 = 77.7544183301131
x38 = 55.7632697006301
x39 = -19.6349541554673
x40 = 93.462381687851
x41 = 71.471233111112
x42 = 74.6128253428807
x43 = 65.1880478021829
x44 = 8.63937960822746
x45 = 49.4800845342934
x46 = 27.4889359573966
x47 = -7.06858355298869
x48 = -38.4845103583538
x49 = 99.7455669089878
x50 = 80.8960105951638
x51 = 14.9225648553046
x52 = 36.9137134309271
x53 = 84.0376034199549
x54 = -101.316363786262
x55 = -60.4756585174615
x56 = -41.6261027352652
x57 = -98.1747703033985
x58 = 14.9225649892472
x59 = 21.2057502602382
x60 = -51.0508808708243
x61 = 96.6039739773235
x62 = -10.2101759860574
x63 = -13.3517689698773
x64 = -95.0331777492301
x65 = 11.7809725930891
x66 = 24.3473430043575
x67 = -7.0685837201977
x68 = 46.3384915843947
x69 = -66.758843637313
x70 = 2.35619442440536
x71 = -57.3340661259123
x72 = -22.7765464900166
x73 = 43.1968988259316
x74 = -32.2013245652766
x75 = -79.3252147038408
x76 = 87.1791963746667
x77 = -38.4845097737495
x78 = 65.1880473923958
x79 = -95.0331780209134
x80 = 62.0464547256144
x81 = -85.608399894653
x82 = 96.6039739212089
x83 = 21.2057506565108
x84 = 43.1968992294597
x85 = -35.3429175479242
x86 = -88.7499925537801
x87 = -66.7588439932285
x87 = -66.7588439932285