Sr Examen

Otras calculadoras

sin(2*x)+2*sqrt(3)*sin(x+3*pi/2)^2=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
               ___    2/    3*pi\    
sin(2*x) + 2*\/ 3 *sin |x + ----| = 0
                       \     2  /    
sin(2x)+23sin2(x+3π2)=0\sin{\left(2 x \right)} + 2 \sqrt{3} \sin^{2}{\left(x + \frac{3 \pi}{2} \right)} = 0
Gráfica
0-80-60-40-2020406080-1001005-5
Respuesta rápida [src]
     -pi 
x1 = ----
      2  
x1=π2x_{1} = - \frac{\pi}{2}
     -pi 
x2 = ----
      3  
x2=π3x_{2} = - \frac{\pi}{3}
     pi
x3 = --
     2 
x3=π2x_{3} = \frac{\pi}{2}
     2*pi
x4 = ----
      3  
x4=2π3x_{4} = \frac{2 \pi}{3}
x4 = 2*pi/3
Suma y producto de raíces [src]
suma
  pi   pi   pi   2*pi
- -- - -- + -- + ----
  2    3    2     3  
((π2π3)+π2)+2π3\left(\left(- \frac{\pi}{2} - \frac{\pi}{3}\right) + \frac{\pi}{2}\right) + \frac{2 \pi}{3}
=
pi
--
3 
π3\frac{\pi}{3}
producto
-pi  -pi  pi 2*pi
----*----*--*----
 2    3   2   3  
2π3π2π2(π3)\frac{2 \pi}{3} \frac{\pi}{2} \cdot - \frac{\pi}{2} \left(- \frac{\pi}{3}\right)
=
  4
pi 
---
 18
π418\frac{\pi^{4}}{18}
pi^4/18
Respuesta numérica [src]
x1 = 74.3510261349584
x2 = -41.8879020478639
x3 = 14.1371669411541
x4 = 32.9867228626928
x5 = 55.5014702134197
x6 = 42.4115008234622
x7 = 27.2271363311115
x8 = 98.9601685880785
x9 = -89.5353906273091
x10 = -89.0117918517108
x11 = -54.9778714378214
x12 = 52.3598775598299
x13 = -67.5442420521806
x14 = -51.8362787842316
x15 = -83.2522053201295
x16 = -48.1710873550435
x17 = 92.6769832808989
x18 = 64.4026493985908
x19 = 48.6946861306418
x20 = 76.9690200129499
x21 = -92.1533845053006
x22 = -32.9867228626928
x23 = 10.9955742875643
x24 = -16.7551608191456
x25 = 5.23598775598299
x26 = -9457.76468363207
x27 = -70.162235930172
x28 = 49.2182849062401
x29 = 33.5103216382911
x30 = -80.1106126665397
x31 = -85.870199198121
x32 = -29.845130209103
x33 = -842.994028713261
x34 = 4.71238898038469
x35 = 20.4203522483337
x36 = -76.9690200129499
x37 = 46.0766922526503
x38 = 77.4926187885482
x39 = 39.7935069454707
x40 = -1.5707963267949
x41 = 96.342174710087
x42 = 230.90706003885
x43 = -60.7374579694027
x44 = 86.3937979737193
x45 = -54.4542726622231
x46 = -39.2699081698724
x47 = -82.7286065445312
x48 = 83.7758040957278
x49 = 93.2005820564972
x50 = 36.1283155162826
x51 = -19.8967534727354
x52 = -32.4631240870945
x53 = 80.1106126665397
x54 = -29.3215314335047
x55 = 64.9262481741891
x56 = -10.471975511966
x57 = 58.1194640914112
x58 = -58.1194640914112
x59 = -3287.67671198172
x60 = 2.0943951023932
x61 = -2097.01309627119
x62 = 54.9778714378214
x63 = 17.8023583703422
x64 = 71.2094334813686
x65 = -95.8185759344887
x66 = -76.4454212373516
x67 = -26.1799387799149
x68 = 26.7035375555132
x69 = -23.5619449019235
x70 = 24.0855436775217
x71 = -38.7463093942741
x72 = 99.4837673636768
x73 = -61.261056745001
x74 = 70.6858347057703
x75 = 30.3687289847013
x76 = -98.9601685880785
x77 = -98.4365698124802
x78 = -26.7035375555132
x79 = -10.9955742875643
x80 = 61.7846555205993
x81 = -63.8790506229925
x82 = 11.5191730631626
x83 = -73.8274273593601
x84 = -4.18879020478639
x85 = 68.0678408277789
x86 = 90.0589894029074
x87 = -45.553093477052
x88 = -7.85398163397448
x89 = -17.2787595947439
x90 = -9224.76322849083
x90 = -9224.76322849083