Sr Examen

sinx/1+cosx=1-cosx la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(x)                      
------ + cos(x) = 1 - cos(x)
  1                         
$$\frac{\sin{\left(x \right)}}{1} + \cos{\left(x \right)} = 1 - \cos{\left(x \right)}$$
Gráfica
Suma y producto de raíces [src]
suma
pi              
-- - 2*atan(1/3)
2               
$$- 2 \operatorname{atan}{\left(\frac{1}{3} \right)} + \frac{\pi}{2}$$
=
pi              
-- - 2*atan(1/3)
2               
$$- 2 \operatorname{atan}{\left(\frac{1}{3} \right)} + \frac{\pi}{2}$$
producto
pi             
--*-2*atan(1/3)
2              
$$\frac{\pi}{2} \left(- 2 \operatorname{atan}{\left(\frac{1}{3} \right)}\right)$$
=
-pi*atan(1/3)
$$- \pi \operatorname{atan}{\left(\frac{1}{3} \right)}$$
-pi*atan(1/3)
Respuesta rápida [src]
     pi
x1 = --
     2 
$$x_{1} = \frac{\pi}{2}$$
x2 = -2*atan(1/3)
$$x_{2} = - 2 \operatorname{atan}{\left(\frac{1}{3} \right)}$$
x2 = -2*atan(1/3)
Respuesta numérica [src]
x1 = 7.85398163397448
x2 = -73.8274273593601
x3 = -44.6257982590504
x4 = -54.9778714378214
x5 = -94.8912807164871
x6 = -82.3249101021279
x7 = -6.92668641597287
x8 = -88.6080954093075
x9 = -69.7585394877687
x10 = -8093.3861767561
x11 = -4.71238898038469
x12 = -25.7762423375116
x13 = -0.643501108793284
x14 = 14.1371669411541
x15 = 93.6042784989005
x16 = 30.7724254271046
x17 = 58.1194640914112
x18 = 70.6858347057703
x19 = -36.1283155162826
x20 = 62.1883519630026
x21 = 87.3210931917209
x22 = -32.0594276446912
x23 = -63.4753541805892
x24 = -92.6769832808989
x25 = -76.0417247949483
x26 = -86.3937979737193
x27 = -10.9955742875643
x28 = -13.2098717231525
x29 = 39.2699081698724
x30 = 18.2060548127455
x31 = -61.261056745001
x32 = -67.5442420521806
x33 = 26.7035375555132
x34 = -48.6946861306418
x35 = 51.8362787842316
x36 = 11.9228695055659
x37 = -42.4115008234622
x38 = -19.493057030332
x39 = -98.9601685880785
x40 = 24.4892401199251
x41 = 95.8185759344887
x42 = 37.0556107342842
x43 = 1.5707963267949
x44 = 45.553093477052
x45 = -17.2787595947439
x46 = 49.6219813486434
x47 = 68.4715372701822
x48 = 43.3387960414638
x49 = 76.9690200129499
x50 = 99.8874638060801
x51 = 1101.12822508322
x52 = 133.517687777566
x53 = -38.3426129518708
x54 = 20.4203522483337
x55 = -80.1106126665397
x56 = 81.0379078845413
x57 = -50.90898356623
x58 = 32.9867228626928
x59 = -57.1921688734096
x60 = -23.5619449019235
x61 = 64.4026493985908
x62 = 74.7547225773617
x63 = 5.6396841983863
x64 = 89.5353906273091
x65 = -29.845130209103
x66 = 83.2522053201295
x67 = 55.905166655823
x67 = 55.905166655823