Sr Examen

Lang:

Otras calculadoras

¿Cómo usar?
La ecuación:
Ecuación x^2+5x=36
Ecuación 3*x=8
Ecuación 9-7(x+3)=5-6x
Ecuación 4x-5=3+2(x+1)
Expresar {x} en función de y en la ecuación:
-17*x+2*y=9
10*x-15*y=16
-17*x+2*y=-4
-2*x-19*y=3
Expresiones idénticas
sin2xcos2x+2cos2xsinxcosx-sin2xsin^2x= cero
seno de 2x coseno de 2x más 2 coseno de 2x seno de x coseno de x menos seno de 2x seno de al cuadrado x es igual a 0
seno de 2x coseno de 2x más 2 coseno de 2x seno de x coseno de x menos seno de 2x seno de al cuadrado x es igual a cero
sin2xcos2x+2cos2xsinxcosx-sin2xsin2x=0
sin2xcos2x+2cos2xsinxcosx-sin2xsin²x=0
sin2xcos2x+2cos2xsinxcosx-sin2xsin en el grado 2x=0
sin2xcos2x+2cos2xsinxcosx-sin2xsin^2x=O
Expresiones semejantes
sin2xcos2x-2cos2xsinxcosx-sin2xsin^2x=0
sin2xcos2x+2cos2xsinxcosx+sin2xsin^2x=0

sin2xcos2x+2cos2xsinxcosx-sin2xsin^2x=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

                                                           2       
sin(2*x)*cos(2*x) + 2*cos(2*x)*sin(x)*cos(x) - sin(2*x)*sin (x) = 0

$$\left(\sin{\left(x \right)} 2 \cos{\left(2 x \right)} \cos{\left(x \right)} + \sin{\left(2 x \right)} \cos{\left(2 x \right)}\right) - \sin^{2}{\left(x \right)} \sin{\left(2 x \right)} = 0$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

x1 = 0

$$x_{1} = 0$$

     -pi 
x2 = ----
      2

$$x_{2} = - \frac{\pi}{2}$$

     pi
x3 = --
     2

$$x_{3} = \frac{\pi}{2}$$

x4 = pi

$$x_{4} = \pi$$

              /   /    /    ___\\\                          
              |   |atan\2*\/ 6 /||                          
              |sin|-------------||                          
              |   \      2      /|     /log(5)      /  ___\\
x5 = pi - atan|------------------| + I*|------ - log\\/ 5 /|
              |   /    /    ___\\|     \  2                /
              |   |atan\2*\/ 6 /||                          
              |cos|-------------||                          
              \   \      2      //

$$x_{5} = - \operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(2 \sqrt{6} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(2 \sqrt{6} \right)}}{2} \right)}} \right)} + \pi + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)$$

                                         /   /    /    ___\\\
                                         |   |atan\2*\/ 6 /||
                                         |sin|-------------||
             /log(5)      /  ___\\       |   \      2      /|
x6 = -pi + I*|------ - log\\/ 5 /| + atan|------------------|
             \  2                /       |   /    /    ___\\|
                                         |   |atan\2*\/ 6 /||
                                         |cos|-------------||
                                         \   \      2      //

$$x_{6} = - \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(2 \sqrt{6} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(2 \sqrt{6} \right)}}{2} \right)}} \right)} + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)$$

       /     /          ___\         \
     I*\- log\1 - 2*I*\/ 6 / + log(5)/
x7 = ---------------------------------
                     2

$$x_{7} = \frac{i \left(\log{\left(5 \right)} - \log{\left(1 - 2 \sqrt{6} i \right)}\right)}{2}$$

       /     /          ___\         \
     I*\- log\1 + 2*I*\/ 6 / + log(5)/
x8 = ---------------------------------
                     2

$$x_{8} = \frac{i \left(\log{\left(5 \right)} - \log{\left(1 + 2 \sqrt{6} i \right)}\right)}{2}$$

x8 = i*(log(5) - log(1 + 2*sqrt(6)*i))/2

Suma y producto de raíces [src]

suma

                          /   /    /    ___\\\                                                                 /   /    /    ___\\\                                                                        
                          |   |atan\2*\/ 6 /||                                                                 |   |atan\2*\/ 6 /||                                                                        
                          |sin|-------------||                                                                 |sin|-------------||     /     /          ___\         \     /     /          ___\         \
  pi   pi                 |   \      2      /|     /log(5)      /  ___\\           /log(5)      /  ___\\       |   \      2      /|   I*\- log\1 - 2*I*\/ 6 / + log(5)/   I*\- log\1 + 2*I*\/ 6 / + log(5)/
- -- + -- + pi + pi - atan|------------------| + I*|------ - log\\/ 5 /| + -pi + I*|------ - log\\/ 5 /| + atan|------------------| + --------------------------------- + ---------------------------------
  2    2                  |   /    /    ___\\|     \  2                /           \  2                /       |   /    /    ___\\|                   2                                   2                
                          |   |atan\2*\/ 6 /||                                                                 |   |atan\2*\/ 6 /||                                                                        
                          |cos|-------------||                                                                 |cos|-------------||                                                                        
                          \   \      2      //                                                                 \   \      2      //

$$\frac{i \left(\log{\left(5 \right)} - \log{\left(1 + 2 \sqrt{6} i \right)}\right)}{2} + \left(\frac{i \left(\log{\left(5 \right)} - \log{\left(1 - 2 \sqrt{6} i \right)}\right)}{2} + \left(\left(\left(\left(- \frac{\pi}{2} + \frac{\pi}{2}\right) + \pi\right) + \left(- \operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(2 \sqrt{6} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(2 \sqrt{6} \right)}}{2} \right)}} \right)} + \pi + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)\right)\right) + \left(- \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(2 \sqrt{6} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(2 \sqrt{6} \right)}}{2} \right)}} \right)} + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)\right)\right)\right)$$

       /     /          ___\         \     /     /          ___\         \                            
     I*\- log\1 - 2*I*\/ 6 / + log(5)/   I*\- log\1 + 2*I*\/ 6 / + log(5)/       /log(5)      /  ___\\
pi + --------------------------------- + --------------------------------- + 2*I*|------ - log\\/ 5 /|
                     2                                   2                       \  2                /

$$\pi + \frac{i \left(\log{\left(5 \right)} - \log{\left(1 - 2 \sqrt{6} i \right)}\right)}{2} + \frac{i \left(\log{\left(5 \right)} - \log{\left(1 + 2 \sqrt{6} i \right)}\right)}{2} + 2 i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)$$

producto

             /         /   /    /    ___\\\                          \ /                                    /   /    /    ___\\\\                                                                    
             |         |   |atan\2*\/ 6 /||                          | |                                    |   |atan\2*\/ 6 /|||                                                                    
             |         |sin|-------------||                          | |                                    |sin|-------------|||   /     /          ___\         \   /     /          ___\         \
  -pi  pi    |         |   \      2      /|     /log(5)      /  ___\\| |        /log(5)      /  ___\\       |   \      2      /|| I*\- log\1 - 2*I*\/ 6 / + log(5)/ I*\- log\1 + 2*I*\/ 6 / + log(5)/
0*----*--*pi*|pi - atan|------------------| + I*|------ - log\\/ 5 /||*|-pi + I*|------ - log\\/ 5 /| + atan|------------------||*---------------------------------*---------------------------------
   2   2     |         |   /    /    ___\\|     \  2                /| |        \  2                /       |   /    /    ___\\||                 2                                 2                
             |         |   |atan\2*\/ 6 /||                          | |                                    |   |atan\2*\/ 6 /|||                                                                    
             |         |cos|-------------||                          | |                                    |cos|-------------|||                                                                    
             \         \   \      2      //                          / \                                    \   \      2      ///

$$\frac{i \left(\log{\left(5 \right)} - \log{\left(1 + 2 \sqrt{6} i \right)}\right)}{2} \frac{i \left(\log{\left(5 \right)} - \log{\left(1 - 2 \sqrt{6} i \right)}\right)}{2} \pi \frac{\pi}{2} \cdot 0 \left(- \frac{\pi}{2}\right) \left(- \operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(2 \sqrt{6} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(2 \sqrt{6} \right)}}{2} \right)}} \right)} + \pi + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)\right) \left(- \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(2 \sqrt{6} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(2 \sqrt{6} \right)}}{2} \right)}} \right)} + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)\right)$$

$$0$$

Respuesta numérica [src]

x1 = -43.9822971502571

x2 = -29.845130209103

x3 = -19.534275124541

x4 = -69.7997575819777

x5 = 69.7997575819777

x6 = 33.8727999864854

x7 = -18.1648367185365

x8 = -92.6769832808989

x9 = -54.0917943140288

x10 = 16.3926824709513

x11 = -99.8462457118711

x12 = 28.2743338823081

x13 = 29.845130209103

x14 = -81.6814089933346

x15 = 99.8462457118711

x16 = -15.707963267949

x17 = 72.2566310325652

x18 = 55.863948561614

x19 = 95.8185759344887

x20 = 40.155985293665

x21 = -47.8086090068492

x22 = -76.0829428891573

x23 = -10.1094971637717

x24 = -21.9911485751286

x25 = -14.1371669411541

x26 = 82.3661281963369

x27 = 98.0740914642859

x28 = 42.4115008234622

x29 = 24.4480220257161

x30 = 68.4303191759732

x31 = 3.82631185659208

x32 = 38.3838310460798

x33 = 46.4391706008446

x34 = 50.2654824574367

x35 = -63.5165722747982

x36 = -40.155985293665

x37 = -72.9413502355675

x38 = -48.6946861306418

x39 = 10.1094971637717

x40 = 54.0917943140288

x41 = -62.1471338687936

x42 = -80.1106126665397

x43 = -27.5896146793059

x44 = -87.9645943005142

x45 = -85.5077208499267

x46 = 0.0

x47 = 20.4203522483337

x48 = 90.4214677511017

x49 = -65.9734457253857

x50 = -73.8274273593601

x51 = -84.1382824439221

x52 = -11.8816514113569

x53 = 6.28318530717959

x54 = -67.5442420521806

x55 = -36.1283155162826

x56 = 94.2477796076938

x57 = 65.9734457253857

x58 = 36.1283155162826

x59 = 21.9911485751286

x60 = -89.5353906273091

x61 = -41.5254236996696

x62 = 91.7909061571063

x63 = 7.85398163397448

x64 = 14.1371669411541

x65 = 86.3937979737193

x66 = 87.9645943005142

x67 = 11.8816514113569

x68 = -32.1006457389002

x69 = -55.863948561614

x70 = -3.82631185659208

x71 = 77.8550971367425

x72 = 51.8362787842316

x73 = -37.6991118430775

x74 = 25.8174604317206

x75 = -51.8362787842316

x76 = -1.5707963267949

x77 = -23.5619449019235

x78 = 64.4026493985908

x79 = 43.9822971502571

x80 = 32.1006457389002

x81 = 76.0829428891573

x82 = -95.8185759344887

x83 = -98.0740914642859

x84 = 80.1106126665397

x85 = 73.8274273593601

x86 = 47.8086090068492

x87 = -59.6902604182061

x88 = 62.1471338687936

x89 = -7.85398163397448

x90 = -77.8550971367425

x91 = -91.7909061571063

x92 = -25.8174604317206

x93 = 84.1382824439221

x94 = -33.8727999864854

x95 = 18.1648367185365

x96 = 60.3749796212084

x97 = -45.553093477052

x98 = 2.45687345058751

x99 = -58.1194640914112

x100 = -5.5984661041773

x101 = 58.1194640914112

x101 = 58.1194640914112

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

sin2xcos2x+2cos2xsinxcosx-sin2xsin^2x=0 la ecuación

Solución numérica:

Solución