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16cos(x)-11sin(x)=4 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
16*cos(x) - 11*sin(x) = 4
$$- 11 \sin{\left(x \right)} + 16 \cos{\left(x \right)} = 4$$
Gráfica
Respuesta rápida [src]
x1 = 2*atan(2/5)
$$x_{1} = 2 \operatorname{atan}{\left(\frac{2}{5} \right)}$$
x2 = -2*atan(3/2)
$$x_{2} = - 2 \operatorname{atan}{\left(\frac{3}{2} \right)}$$
x2 = -2*atan(3/2)
Suma y producto de raíces [src]
suma
2*atan(2/5) - 2*atan(3/2)
$$- 2 \operatorname{atan}{\left(\frac{3}{2} \right)} + 2 \operatorname{atan}{\left(\frac{2}{5} \right)}$$
=
-2*atan(3/2) + 2*atan(2/5)
$$- 2 \operatorname{atan}{\left(\frac{3}{2} \right)} + 2 \operatorname{atan}{\left(\frac{2}{5} \right)}$$
producto
2*atan(2/5)*-2*atan(3/2)
$$2 \operatorname{atan}{\left(\frac{2}{5} \right)} \left(- 2 \operatorname{atan}{\left(\frac{3}{2} \right)}\right)$$
=
-4*atan(2/5)*atan(3/2)
$$- 4 \operatorname{atan}{\left(\frac{2}{5} \right)} \operatorname{atan}{\left(\frac{3}{2} \right)}$$
-4*atan(2/5)*atan(3/2)
Respuesta numérica [src]
x1 = 13.3273833685839
x2 = -89.9301817470089
x3 = 98.5653774683787
x4 = 7.04419806140432
x5 = -93.4867668534691
x6 = -1.96558744649466
x7 = 0.76101275422473
x8 = -30.6549137816732
x9 = -55.7876550103915
x10 = 73.4326362396604
x11 = -27.098328675213
x12 = 92.2821921611991
x13 = -20.8151433680334
x14 = -43.2212843960324
x15 = -77.3638111326497
x16 = 120.141533590637
x17 = -68.3540256247507
x18 = 48.299895010942
x19 = -99.7699521606487
x20 = -96.2133670541885
x21 = 42.0167097037624
x22 = 60.8662656253012
x23 = 51.0264952116614
x24 = -45.9478845967518
x25 = -62.0708403175711
x26 = -87.2035815462895
x27 = 4.31759786068493
x28 = -52.2310699039313
x29 = 10.6007831678645
x30 = -80.9203962391099
x31 = -39.6646992895722
x32 = -36.9380990888528
x33 = 35.7335243965829
x34 = 25.8937539829431
x35 = 85.9990068540196
x36 = 57.309680518841
x37 = 95.0087923619185
x38 = -24.3717284744936
x39 = 21829624.7648494
x40 = 16.8839684750441
x41 = 69.8760511332002
x42 = -71.0806258254701
x43 = -64.7974405182905
x44 = 19.6105686757635
x45 = 32.1769392901227
x46 = 29.4503390894033
x47 = 82.4424217475594
x48 = -49.504469703212
x49 = 23.1671537822237
x50 = -33.3815139823926
x51 = 88.7256070547389
x52 = 76.1592364403798
x53 = -18.088543167314
x54 = 54.5830803181216
x55 = 79.71582154684
x56 = -83.6469964398293
x57 = 44.7433099044818
x58 = 67.1494509324808
x59 = 38.4601245973022
x60 = -14937.0970626124
x61 = -8.24877275367425
x62 = -74.6372109319303
x63 = -11.8053578601344
x64 = 63.5928658260206
x65 = -58.5142552111109
x66 = -14.5319580608538
x67 = -5.52217255295486
x67 = -5.52217255295486