Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación x^2+5x=36
-
Ecuación 3*x=8
-
Ecuación 3*x-6=x+4
-
Ecuación 3^x=-1
- Expresar {x} en función de y en la ecuación:
- 10*x-15*y=16
- -17*x+2*y=-4
- -2*x-19*y=3
- 6*x+17*y=-11
- Derivada de:
-
sin(x)+cos(x)
-
0,5
- Gráfico de la función y =:
-
sin(x)+cos(x)
- Integral de d{x}:
- sin(x)+cos(x)
- 0,5
- Suma de la serie:
-
0,5
-
Expresiones idénticas
- sin(x)+cos(x)= cero , cinco
- seno de (x) más coseno de (x) es igual a 0,5
- seno de (x) más coseno de (x) es igual a cero , cinco
- sinx+cosx=0,5
- sin(x)+cos(x)=O,5
-
Expresiones semejantes
- sin(x)-cos(x)=0,5
- sinx+(cosx)^0.5=0
- (-sinx+cosx)(3-sin2x)+(cosx+sinx)(2cos2x)=0
- sinx+cosx=0,5
-
Expresiones con funciones
- Seno sin
- sin(3*x)+sin(x)=0
- sin(x)=1/2
- sin(x)-sqrt(2)/2=0
- sin4x=0
- sin(x)=sqrt(3)/2
- Coseno cos
- cos(2*x)+3*sin(x)+1=0
- cos(x)=4/7
- cos^2(x)=1/2
- cos2x+5sinx+2=0
- cos(x)/(sin(x)-1)=0
sin(x)+cos(x)=0,5 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
sin(x) + cos(x) = 1/2
$$\sin{\left(x \right)} + \cos{\left(x \right)} = \frac{1}{2}$$
Suma y producto de raíces
[src]
suma
/ ___\ / ___\
|2 \/ 7 | |2 \/ 7 |
2*atan|- - -----| + 2*atan|- + -----|
\3 3 / \3 3 /
$$2 \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{7}}{3} \right)} + 2 \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{7}}{3} \right)}$$
=
/ ___\ / ___\
|2 \/ 7 | |2 \/ 7 |
2*atan|- - -----| + 2*atan|- + -----|
\3 3 / \3 3 /
$$2 \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{7}}{3} \right)} + 2 \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{7}}{3} \right)}$$
producto
/ ___\ / ___\
|2 \/ 7 | |2 \/ 7 |
2*atan|- - -----|*2*atan|- + -----|
\3 3 / \3 3 /
$$2 \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{7}}{3} \right)} 2 \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{7}}{3} \right)}$$
=
/ ___\ / ___\
|2 \/ 7 | |2 \/ 7 |
4*atan|- - -----|*atan|- + -----|
\3 3 / \3 3 /
$$4 \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{7}}{3} \right)} \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{7}}{3} \right)}$$
4*atan(2/3 - sqrt(7)/3)*atan(2/3 + sqrt(7)/3)
Respuesta rápida
[src]
/ ___\
|2 \/ 7 |
x1 = 2*atan|- - -----|
\3 3 /
$$x_{1} = 2 \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{7}}{3} \right)}$$
/ ___\
|2 \/ 7 |
x2 = 2*atan|- + -----|
\3 3 /
$$x_{2} = 2 \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{7}}{3} \right)}$$
x2 = 2*atan(2/3 + sqrt(7)/3)
Respuesta numérica
[src]
x1 = 137.80604571846
x2 = 100.106933875383
x3 = -4.28835794089395
x4 = 39.6939392093632
x5 = -25.5567722682091
x6 = -56.972698804107
x7 = -415.114261313343
x8 = 52.2603098237223
x9 = -12.9904016538499
x10 = -85.9697669342286
x11 = -82.1054400328254
x12 = -75.8222547256458
x13 = 71.1098657452611
x14 = -104.819322855767
x15 = -73.4033963198694
x16 = 87.5405632610235
x17 = 89.9594216667998
x18 = -50.6895134969274
x19 = 1.99482736628564
x20 = -31.8399575753887
x21 = 43.5582661107664
x22 = -16.8547285552531
x23 = 33.4107539021836
x24 = -67.1202110126898
x25 = 20.8443832878244
x26 = 14.5611979806448
x27 = -0.424031039490741
x28 = 12.1423395748684
x29 = -79.686581627049
x30 = 93.8237485682031
x31 = 77.3930510524407
x32 = -69.5390694184662
x33 = -88.3886253400049
x34 = 74.9741926466643
x35 = -92.2529522414082
x36 = 37.2750808035868
x37 = -48.2706550911511
x38 = -29.4210991696123
x39 = 5.85915426768885
x40 = -63.2558841112866
x41 = -38.1231428825683
x42 = 30.9918954964072
x43 = 45.9771245165427
x44 = -60.8370257055102
x45 = -41.9874697839715
x46 = 18.425524882048
x47 = 96.2426069739794
x48 = -35.7042844767919
x49 = -10.5715432480735
x50 = 24.7087101892276
x51 = -19.2735869610295
x52 = -54.5538403983306
x53 = 49.841451417946
x54 = 27.127568595004
x55 = 81.2573779538439
x56 = 8.27801267346522
x57 = -94.6718106471845
x58 = -6.70721634667033
x59 = 56.1246367251255
x60 = 68.6910073394847
x61 = -44.4063281897478
x62 = -23.1379138624327
x63 = -98.5361375485877
x64 = -22102.2510832915
x65 = 62.4078220323051
x66 = 64.8266804380815
x67 = 83.6762363596203
x68 = 58.5434951309019
x68 = 58.5434951309019
Gráfico