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4*sin(x)+5*cos(x)=4

4*sin(x)+5*cos(x)=4 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
4*sin(x) + 5*cos(x) = 4
$$4 \sin{\left(x \right)} + 5 \cos{\left(x \right)} = 4$$
Gráfica
Suma y producto de raíces [src]
suma
pi              
-- - 2*atan(1/9)
2               
$$- 2 \operatorname{atan}{\left(\frac{1}{9} \right)} + \frac{\pi}{2}$$
=
pi              
-- - 2*atan(1/9)
2               
$$- 2 \operatorname{atan}{\left(\frac{1}{9} \right)} + \frac{\pi}{2}$$
producto
pi             
--*-2*atan(1/9)
2              
$$\frac{\pi}{2} \left(- 2 \operatorname{atan}{\left(\frac{1}{9} \right)}\right)$$
=
-pi*atan(1/9)
$$- \pi \operatorname{atan}{\left(\frac{1}{9} \right)}$$
-pi*atan(1/9)
Respuesta rápida [src]
     pi
x1 = --
     2 
$$x_{1} = \frac{\pi}{2}$$
x2 = -2*atan(1/9)
$$x_{2} = - 2 \operatorname{atan}{\left(\frac{1}{9} \right)}$$
x2 = -2*atan(1/9)
Respuesta numérica [src]
x1 = 51.8362787842316
x2 = -42.4115008234622
x3 = 269.955653766374
x4 = 70.6858347057703
x5 = 43.7609827079093
x6 = 89.5353906273091
x7 = -50.4867968997845
x8 = -31.6372409782457
x9 = -186.924762888593
x10 = -98.9601685880785
x11 = 427.035286445864
x12 = 50.0441680150889
x13 = 95.8185759344887
x14 = -80.1106126665397
x15 = -67.5442420521806
x16 = 1.5707963267949
x17 = -0.221314442347791
x18 = 14.1371669411541
x19 = 6.0618708648318
x20 = 24.9114267863706
x21 = -17.2787595947439
x22 = -86.3937979737193
x23 = -12.787685056707
x24 = 31.1946120935501
x25 = -117.809724509617
x26 = 37.4777974007297
x27 = -1600.641457004
x28 = 68.8937239366277
x29 = 62.6105386294481
x30 = -81.9027234356824
x31 = -25.3540556710661
x32 = -4.71238898038469
x33 = 58.1194640914112
x34 = -54.9778714378214
x35 = -24944.4669839453
x36 = -44.2036115926049
x37 = -94.4690940500416
x38 = -69.3363528213232
x39 = -23.5619449019235
x40 = -29.845130209103
x41 = 76.9690200129499
x42 = -37.9204262854253
x43 = -19.0708703638866
x44 = 127.234502470387
x45 = 26.7035375555132
x46 = 75.1769092438072
x47 = 39.2699081698724
x48 = 83.2522053201295
x49 = -61.261056745001
x50 = -312.588469032184
x51 = -36.1283155162826
x52 = 32.9867228626928
x53 = 20.4203522483337
x54 = -73.8274273593601
x55 = 45.553093477052
x56 = -88.185908742862
x57 = 87.7432798581664
x58 = -10.9955742875643
x59 = -56.7699822069641
x60 = -75.6195381285028
x61 = 64.4026493985908
x62 = 12.3450561720114
x63 = 56.3273533222685
x64 = -48.6946861306418
x65 = 100.309650472526
x66 = -6.50449974952738
x67 = 81.4600945509868
x68 = -63.0531675141437
x69 = -1772.07957106699
x70 = 94.026465165346
x71 = 7.85398163397448
x72 = -92.6769832808989
x73 = 18.628241479191
x73 = 18.628241479191
Gráfico
4*sin(x)+5*cos(x)=4 la ecuación