Sr Examen

Otras calculadoras


sin(x)^(2)+sin(2*x)=1

sin(x)^(2)+sin(2*x)=1 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                  
sin (x) + sin(2*x) = 1
$$\sin^{2}{\left(x \right)} + \sin{\left(2 x \right)} = 1$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      2  
$$x_{1} = - \frac{\pi}{2}$$
     pi
x2 = --
     2 
$$x_{2} = \frac{\pi}{2}$$
             /log(5)      /  ___\\            
x3 = -pi + I*|------ - log\\/ 5 /| + atan(1/2)
             \  2                /            
$$x_{3} = - \pi + \operatorname{atan}{\left(\frac{1}{2} \right)} + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)$$
       /log(5)      /  ___\\            
x4 = I*|------ - log\\/ 5 /| + atan(1/2)
       \  2                /            
$$x_{4} = \operatorname{atan}{\left(\frac{1}{2} \right)} + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)$$
x4 = atan(1/2) + i*(-log(sqrt(5)) + log(5)/2)
Respuesta numérica [src]
x1 = -80.1106126665397
x2 = 31.8795741448987
x3 = 22.4547961841294
x4 = 0.463647609000806
x5 = -23.5619449019235
x6 = -73.8274273593601
x7 = -27.8106862733073
x8 = -36.1283155162826
x9 = 86.3937979737193
x10 = -34.0938715804869
x11 = 53.8707227200273
x12 = 38.1627594520783
x13 = 72.7202786415661
x14 = 28.7379814913089
x15 = -87.5009466915134
x16 = -64.4026493985908
x17 = 689.57958746296
x18 = -92.6769832808989
x19 = -20.4203522483337
x20 = 42.4115008234622
x21 = -67.5442420521806
x22 = 89.5353906273091
x23 = 1.5707963267949
x24 = 14.1371669411541
x25 = -7.85398163397448
x26 = 180.641577581413
x27 = -86.3937979737193
x28 = 80.1106126665397
x29 = -29.845130209103
x30 = -78.076168730744
x31 = 47.5875374128477
x32 = 75.8618712951559
x33 = -5.81953769817878
x34 = -56.0850201556155
x35 = -15.2443156589482
x36 = 23.5619449019235
x37 = 51.8362787842316
x38 = -30.9522789268971
x39 = 95.8185759344887
x40 = -95.8185759344887
x41 = -43.5186495412563
x42 = -71.7929834235644
x43 = 16.1716108769498
x44 = 58.1194640914112
x45 = 29.845130209103
x46 = -12.1027230053584
x47 = 82.1450566023354
x48 = 88.428241909515
x49 = 57.0123153736171
x50 = -84.3593540379236
x51 = -58.1194640914112
x52 = -81.2177613843338
x53 = 36.1283155162826
x54 = 44.4459447592579
x55 = -45.553093477052
x56 = 67.5442420521806
x57 = 66.4370933343865
x58 = -42.4115008234622
x59 = -14.1371669411541
x60 = -100.067317305873
x61 = 60.1539080272069
x62 = -65.5097981163849
x63 = 41.3043521056681
x64 = -21.5275009661277
x65 = 97.8530198702844
x66 = 6.74683291618039
x67 = -59.2266128092053
x68 = 20.4203522483337
x69 = -37.2354642340767
x70 = 9.88842556977019
x71 = -49.8018348484359
x72 = 45.553093477052
x73 = -93.784131998693
x74 = 94.7114272166946
x75 = -51.8362787842316
x76 = 64.4026493985908
x77 = 50.7291300664375
x78 = 73.8274273593601
x79 = -1.5707963267949
x80 = 7.85398163397448
x81 = -89.5353906273091
x81 = -89.5353906273091
Gráfico
sin(x)^(2)+sin(2*x)=1 la ecuación