Sr Examen

Otras calculadoras

sin(x/2)*cos(x+1)=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]
   /x\               
sin|-|*cos(x + 1) = 0
   \2/               
$$\sin{\left(\frac{x}{2} \right)} \cos{\left(x + 1 \right)} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
     pi        pi
-1 + -- + -1 - --
     2         2 
$$\left(- \frac{\pi}{2} - 1\right) + \left(-1 + \frac{\pi}{2}\right)$$
=
-2
$$-2$$
producto
  /     pi\ /     pi\
0*|-1 + --|*|-1 - --|
  \     2 / \     2 /
$$0 \left(-1 + \frac{\pi}{2}\right) \left(- \frac{\pi}{2} - 1\right)$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
          pi
x2 = -1 + --
          2 
$$x_{2} = -1 + \frac{\pi}{2}$$
          pi
x3 = -1 - --
          2 
$$x_{3} = - \frac{\pi}{2} - 1$$
x3 = -pi/2 - 1
Respuesta numérica [src]
x1 = -43.9822971502571
x2 = 31.9867228626928
x3 = 56.5486677646163
x4 = -81.6814089933346
x5 = 53.9778714378214
x6 = -33.9867228626928
x7 = 66.5442420521806
x8 = -49.6946861306418
x9 = 85.3937979737193
x10 = -18.8495559215388
x11 = 25.1327412287183
x12 = 100.530964914873
x13 = 57.1194640914112
x14 = -59.1194640914112
x15 = 79.1106126665397
x16 = 81.6814089933346
x17 = 69.1150383789755
x18 = 91.6769832808989
x19 = 28.845130209103
x20 = 72.8274273593601
x21 = -18.2787595947439
x22 = -68.5442420521806
x23 = -55.9778714378214
x24 = 19.4203522483337
x25 = -99.9601685880785
x26 = 50.2654824574367
x27 = -62.8318530717959
x28 = -25.1327412287183
x29 = -65.4026493985908
x30 = 82.2522053201295
x31 = 97.9601685880785
x32 = 3.71238898038469
x33 = 25.7035375555132
x34 = 13.1371669411541
x35 = -87.9645943005142
x36 = -62.261056745001
x37 = -11.9955742875643
x38 = 0.0
x39 = 38.2699081698724
x40 = -74.8274273593601
x41 = 18.8495559215388
x42 = -27.7035375555132
x43 = 6.28318530717959
x44 = -2.5707963267949
x45 = 94.2477796076938
x46 = -46.553093477052
x47 = -56.5486677646163
x48 = -5.71238898038469
x49 = -21.4203522483337
x50 = 41.4115008234622
x51 = -30.845130209103
x52 = -96.8185759344887
x53 = 87.9645943005142
x54 = 12.5663706143592
x55 = -37.1283155162826
x56 = -615.7521601036
x57 = -37.6991118430775
x58 = 63.4026493985908
x59 = 75.9690200129499
x60 = -93.6769832808989
x61 = -8.85398163397448
x62 = 16.2787595947439
x63 = 43.9822971502571
x64 = -50.2654824574367
x65 = 135.659280431156
x66 = 69.6858347057703
x67 = 60.261056745001
x68 = 22.5619449019235
x69 = -75.398223686155
x70 = -69.1150383789755
x71 = 6.85398163397448
x72 = -81.1106126665397
x73 = -15.1371669411541
x74 = -90.5353906273091
x75 = 35.1283155162826
x76 = 62.8318530717959
x77 = 94.8185759344887
x78 = -24.5619449019235
x79 = -40.2699081698724
x80 = 9.99557428756428
x81 = -71.6858347057703
x82 = 50.8362787842316
x83 = -77.9690200129499
x84 = 163.362817986669
x85 = 4907.73852123405
x86 = -94.2477796076938
x87 = -52.8362787842316
x88 = 47.6946861306418
x89 = -31.4159265358979
x90 = -84.2522053201295
x90 = -84.2522053201295