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5sin(x)-cos(x)=5 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
5*sin(x) - cos(x) = 5
$$5 \sin{\left(x \right)} - \cos{\left(x \right)} = 5$$
Gráfica
Suma y producto de raíces [src]
suma
pi              
-- + 2*atan(3/2)
2               
$$\frac{\pi}{2} + 2 \operatorname{atan}{\left(\frac{3}{2} \right)}$$
=
pi              
-- + 2*atan(3/2)
2               
$$\frac{\pi}{2} + 2 \operatorname{atan}{\left(\frac{3}{2} \right)}$$
producto
pi            
--*2*atan(3/2)
2             
$$\frac{\pi}{2} \cdot 2 \operatorname{atan}{\left(\frac{3}{2} \right)}$$
=
pi*atan(3/2)
$$\pi \operatorname{atan}{\left(\frac{3}{2} \right)}$$
pi*atan(3/2)
Respuesta rápida [src]
     pi
x1 = --
     2 
$$x_{1} = \frac{\pi}{2}$$
x2 = 2*atan(3/2)
$$x_{2} = 2 \operatorname{atan}{\left(\frac{3}{2} \right)}$$
x2 = 2*atan(3/2)
Respuesta numérica [src]
x1 = 1.5707963267949
x2 = 39.2699081698724
x3 = -92461.3893930083
x4 = -79.71582154684
x5 = 39.6646992895722
x6 = 246.615023306799
x7 = 14.5319580608538
x8 = 64.7974405182905
x9 = -10704.5821759875
x10 = 77.3638111326497
x11 = 14.1371669411541
x12 = 58.5142552111109
x13 = -494.406051820693
x14 = 32.9867228626928
x15 = 89.9301817470089
x16 = -35.7335243965829
x17 = -61.261056745001
x18 = -36.1283155162826
x19 = -48.6946861306418
x20 = 7.85398163397448
x21 = -29.4503390894033
x22 = 70.6858347057703
x23 = -80.1106126665397
x24 = -92.2821921611991
x25 = -85.9990068540196
x26 = -73.4326362396604
x27 = 20.8151433680334
x28 = 51.8362787842316
x29 = -98.9601685880785
x30 = 83.6469964398293
x31 = -29.845130209103
x32 = 1.96558744649466
x33 = -42.0167097037624
x34 = 83.2522053201295
x35 = 45.9478845967518
x36 = 96.2133670541885
x37 = -86.3937979737193
x38 = -10.9955742875643
x39 = 52.2310699039313
x40 = 39862.4931761938
x41 = -54.9778714378214
x42 = -92.6769832808989
x43 = 89.5353906273091
x44 = 58.1194640914112
x45 = -48.299895010942
x46 = -98.5653774683787
x47 = 20.4203522483337
x48 = 71.0806258254701
x49 = -519.538793049411
x50 = 27.098328675213
x51 = -67.5442420521806
x52 = -23.1671537822237
x53 = 45.553093477052
x54 = -73.8274273593601
x55 = 265.859370348037
x56 = 8.24877275367425
x57 = -54.5830803181216
x58 = 64.4026493985908
x59 = -16.8839684750441
x60 = 95.8185759344887
x61 = 102.101761241668
x62 = -4.31759786068493
x63 = -4.71238898038469
x64 = 76.9690200129499
x65 = -10.6007831678645
x66 = -161.792021659874
x67 = -17.2787595947439
x68 = -67.1494509324808
x69 = 33.3815139823926
x70 = 26.7035375555132
x71 = -23.5619449019235
x72 = -42.4115008234622
x73 = -60.8662656253012
x73 = -60.8662656253012