Sr Examen

Otras calculadoras

√2*((1/√2)sin(X)+(1/√2)cos(X))=-1 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)   cos(x)\     
\/ 2 *|------ + ------| = -1
      |  ___      ___ |     
      \\/ 2     \/ 2  /     
$$\sqrt{2} \left(\frac{\sin{\left(x \right)}}{\sqrt{2}} + \frac{\cos{\left(x \right)}}{\sqrt{2}}\right) = -1$$
Gráfica
Suma y producto de raíces [src]
suma
-pi 
----
 2  
$$- \frac{\pi}{2}$$
=
-pi 
----
 2  
$$- \frac{\pi}{2}$$
producto
-pi 
----
 2  
$$- \frac{\pi}{2}$$
=
-pi 
----
 2  
$$- \frac{\pi}{2}$$
-pi/2
Respuesta rápida [src]
     -pi 
x1 = ----
      2  
$$x_{1} = - \frac{\pi}{2}$$
x1 = -pi/2
Respuesta numérica [src]
x1 = 73.8274273593601
x2 = 40.8407044966673
x3 = -26.7035375555132
x4 = -1.5707963267949
x5 = 97.3893722612836
x6 = 34.5575191894877
x7 = 53.4070751110265
x8 = -95.8185759344887
x9 = 47.1238898038469
x10 = -97.3893722612836
x11 = -39.2699081698724
x12 = -21.9911485751286
x13 = 3.14159265358979
x14 = 10.9955742875643
x15 = 65.9734457253857
x16 = 54.9778714378214
x17 = -53.4070751110265
x18 = 23.5619449019235
x19 = -9.42477796076938
x20 = -34.5575191894877
x21 = 21.9911485751286
x22 = -47.1238898038469
x23 = 92.6769832808989
x24 = -32.9867228626928
x25 = 28.2743338823081
x26 = -3.14159265358979
x27 = 98.9601685880785
x28 = 36.1283155162826
x29 = -65.9734457253857
x30 = -7.85398163397448
x31 = -58.1194640914112
x32 = -59.6902604182061
x33 = 72.2566310325652
x34 = 86.3937979737193
x35 = -91.106186954104
x36 = -89.5353906273091
x37 = -14.1371669411541
x38 = -40.8407044966673
x39 = 59.6902604182061
x40 = -64.4026493985908
x41 = 80.1106126665397
x42 = 91.106186954104
x43 = 84.8230016469244
x44 = 78.5398163397448
x45 = 4.71238898038469
x46 = 48.6946861306418
x47 = 9.42477796076938
x48 = -196.349540849362
x49 = -84.8230016469244
x50 = -45.553093477052
x51 = -78.5398163397448
x52 = 17.2787595947439
x53 = -83.2522053201295
x54 = -20.4203522483337
x55 = 15.707963267949
x56 = 61.261056745001
x57 = -28.2743338823081
x58 = 29.845130209103
x59 = -15.707963267949
x60 = 42.4115008234622
x61 = -51.8362787842316
x62 = -70.6858347057703
x63 = 67.5442420521806
x64 = -72.2566310325652
x65 = -76.9690200129499
x65 = -76.9690200129499