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cosx+sinx=0,2 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cos(x) + sin(x) = 1/5
$$\sin{\left(x \right)} + \cos{\left(x \right)} = \frac{1}{5}$$
Gráfica
Respuesta rápida [src]
x1 = -2*atan(1/3)
$$x_{1} = - 2 \operatorname{atan}{\left(\frac{1}{3} \right)}$$
x2 = 2*atan(2)
$$x_{2} = 2 \operatorname{atan}{\left(2 \right)}$$
x2 = 2*atan(2)
Suma y producto de raíces [src]
suma
-2*atan(1/3) + 2*atan(2)
$$- 2 \operatorname{atan}{\left(\frac{1}{3} \right)} + 2 \operatorname{atan}{\left(2 \right)}$$
=
-2*atan(1/3) + 2*atan(2)
$$- 2 \operatorname{atan}{\left(\frac{1}{3} \right)} + 2 \operatorname{atan}{\left(2 \right)}$$
producto
-2*atan(1/3)*2*atan(2)
$$- 2 \operatorname{atan}{\left(\frac{1}{3} \right)} 2 \operatorname{atan}{\left(2 \right)}$$
=
-4*atan(2)*atan(1/3)
$$- 4 \operatorname{atan}{\left(\frac{1}{3} \right)} \operatorname{atan}{\left(2 \right)}$$
-4*atan(2)*atan(1/3)
Respuesta numérica [src]
x1 = -29.2016291003098
x2 = -66.9007409433873
x3 = -4.06888787159141
x4 = -35.4848144074893
x5 = -25.7762423375116
x6 = 18.2060548127455
x7 = -50.90898356623
x8 = 68.4715372701822
x9 = -69.7585394877687
x10 = -54.3343703290281
x11 = -10.352073178771
x12 = 30.7724254271046
x13 = 65.046150507384
x14 = -57.1921688734096
x15 = 74.7547225773617
x16 = 71.3293358145636
x17 = -16.6352584859506
x18 = 27.3470386643065
x19 = 39.9134092786657
x20 = 2.21429743558818
x21 = -92.0334821721056
x22 = -2800.08634956651
x23 = 78780.7916788532
x24 = -44.6257982590504
x25 = -82.3249101021279
x26 = -73.1839262505669
x27 = 33.6302239714861
x28 = -13.2098717231525
x29 = -32.0594276446912
x30 = 83.8957064289228
x31 = 21.0638533571269
x32 = 37.0556107342842
x33 = -63.4753541805892
x34 = 52.4797798930249
x35 = -88.6080954093075
x36 = 58.7629652002045
x37 = -2567.60849320086
x38 = -94.8912807164871
x39 = 77.6125211217432
x40 = 87.3210931917209
x41 = 49.6219813486434
x42 = -41.7679997146689
x43 = -19.493057030332
x44 = -38.3426129518708
x45 = 8.49748274276777
x46 = -79.4671115577464
x47 = 165.577115422257
x48 = -0.643501108793284
x49 = 93.6042784989005
x50 = 81.0379078845413
x51 = -214.271801552899
x52 = -98.3166674792852
x53 = 99.8874638060801
x54 = 5.6396841983863
x55 = 14.7806680499474
x56 = 90.1788917361024
x57 = 96.462077043282
x58 = -48.0511850218485
x59 = 46.1965945858453
x60 = 11.9228695055659
x61 = -6.92668641597287
x62 = 24.4892401199251
x63 = 55.905166655823
x64 = -76.0417247949483
x65 = 43.3387960414638
x66 = -60.6175556362077
x67 = -85.750296864926
x68 = -22.9184437931302
x69 = 62.1883519630026
x69 = 62.1883519630026