Sr Examen

Otras calculadoras

absolute(sin(x))+absolute(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)| = 1
$$\left|{\sin{\left(x \right)}}\right| + \left|{\cos{\left(x \right)}}\right| = 1$$
Gráfica
Suma y producto de raíces [src]
suma
  pi   pi
- -- + --
  2    2 
$$- \frac{\pi}{2} + \frac{\pi}{2}$$
=
0
$$0$$
producto
  -pi  pi
0*----*--
   2   2 
$$\frac{\pi}{2} \cdot 0 \left(- \frac{\pi}{2}\right)$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -pi 
x2 = ----
      2  
$$x_{2} = - \frac{\pi}{2}$$
     pi
x3 = --
     2 
$$x_{3} = \frac{\pi}{2}$$
x3 = pi/2
Respuesta numérica [src]
x1 = 7.85398163397448
x2 = -73.8274273593601
x3 = 73.8274273593601
x4 = 0.0
x5 = -18.8495559215388
x6 = -1.5707963267949
x7 = -95.8185759344887
x8 = 87.9645943005142
x9 = 43.9822971502571
x10 = -21.9911485751286
x11 = 65.9734457253857
x12 = -50.2654824574367
x13 = -36.1283155162826
x14 = -94.2477796076938
x15 = 21.9911485751286
x16 = -43.9822971502571
x17 = -32.9867228626928
x18 = 28.2743338823081
x19 = 4393.51732604533
x20 = -65.9734457253857
x21 = -7.85398163397448
x22 = -58.1194640914112
x23 = -59.6902604182061
x24 = -67.5442420521806
x25 = 26.7035375555132
x26 = 72.2566310325652
x27 = 86.3937979737193
x28 = 51.8362787842316
x29 = -48.6946861306418
x30 = 94.2477796076938
x31 = -89.5353906273091
x32 = -14.1371669411541
x33 = 95.8185759344887
x34 = 1.5707963267949
x35 = -17.2787595947439
x36 = -45.553093477052
x37 = 20.4203522483337
x38 = -87.9645943005142
x39 = -81.6814089933346
x40 = -80.1106126665397
x41 = 64.4026493985908
x42 = -23.5619449019235
x43 = -15.707963267949
x44 = -37.6991118430775
x45 = 42.4115008234622
x46 = -28.2743338823081
x47 = 29.845130209103
x48 = -51.8362787842316
x49 = 50.2654824574367
x50 = -29.845130209103
x51 = -72.2566310325652
x52 = 6.28318530717959
x52 = 6.28318530717959