Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación x-x/7=15/7
-
Ecuación (x-7)^2=(9-x)^2
-
Ecuación 1-2*(5-2*x)=-x-3
-
Ecuación x^3+4*x^2-x-4=0
- Expresar {x} en función de y en la ecuación:
- -16*x-7*y=-5
- 17*x-11*y=2
- 7*x+19*y=12
- -5*x+5*y=-9
-
Expresiones idénticas
- (dos *sin(x/ tres)^ dos -cos(x/ tres)^ dos)*cos(x/ tres)= cero
- (2 multiplicar por seno de (x dividir por 3) al cuadrado menos coseno de (x dividir por 3) al cuadrado ) multiplicar por coseno de (x dividir por 3) es igual a 0
- (dos multiplicar por seno de (x dividir por tres) en el grado dos menos coseno de (x dividir por tres) en el grado dos) multiplicar por coseno de (x dividir por tres) es igual a cero
- (2*sin(x/3)2-cos(x/3)2)*cos(x/3)=0
- 2*sinx/32-cosx/32*cosx/3=0
- (2*sin(x/3)²-cos(x/3)²)*cos(x/3)=0
- (2*sin(x/3) en el grado 2-cos(x/3) en el grado 2)*cos(x/3)=0
- (2sin(x/3)^2-cos(x/3)^2)cos(x/3)=0
- (2sin(x/3)2-cos(x/3)2)cos(x/3)=0
- 2sinx/32-cosx/32cosx/3=0
- 2sinx/3^2-cosx/3^2cosx/3=0
- (2*sin(x/3)^2-cos(x/3)^2)*cos(x/3)=O
- (2*sin(x dividir por 3)^2-cos(x dividir por 3)^2)*cos(x dividir por 3)=0
-
Expresiones semejantes
- (2*sin(x/3)^2+cos(x/3)^2)*cos(x/3)=0
-
Expresiones con funciones
- Seno sin
- sin(x)+cos(x)=-1
- sin(x/2)=1
- sin(x)=3
- sin(x)=pi/3
- sinx-1=0
- Coseno cos
- cos(4*x)-sin(2*x)=0
- cos(x)=-sin(x)
- cos(x)=pi/2
- cos(2*x)-1=0
- cos(x)^(2)+3*sin(x)-3=0
- Coseno cos
- cos(4*x)-sin(2*x)=0
- cos(x)=-sin(x)
- cos(x)=pi/2
- cos(2*x)-1=0
- cos(x)^(2)+3*sin(x)-3=0
(2*sin(x/3)^2-cos(x/3)^2)*cos(x/3)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 2/x\ 2/x\\ /x\ |2*sin |-| - cos |-||*cos|-| = 0 \ \3/ \3// \3/
$$\left(2 \sin^{2}{\left(\frac{x}{3} \right)} - \cos^{2}{\left(\frac{x}{3} \right)}\right) \cos{\left(\frac{x}{3} \right)} = 0$$
Suma y producto de raíces
[src]
suma
/ _____________\ / _____________\ / _____________\ / _____________\ 3*pi 3*pi | / ___ | | / ___ | | / ___ | | / ___ | - ---- + ---- - 6*atan\\/ 5 - 2*\/ 6 / + 6*atan\\/ 5 - 2*\/ 6 / - 6*atan\\/ 5 + 2*\/ 6 / + 6*atan\\/ 5 + 2*\/ 6 / 2 2
$$\left(- 6 \operatorname{atan}{\left(\sqrt{2 \sqrt{6} + 5} \right)} + \left(\left(- 6 \operatorname{atan}{\left(\sqrt{5 - 2 \sqrt{6}} \right)} + \left(- \frac{3 \pi}{2} + \frac{3 \pi}{2}\right)\right) + 6 \operatorname{atan}{\left(\sqrt{5 - 2 \sqrt{6}} \right)}\right)\right) + 6 \operatorname{atan}{\left(\sqrt{2 \sqrt{6} + 5} \right)}$$
=
0
$$0$$
producto
/ _____________\ / _____________\ / _____________\ / _____________\ -3*pi 3*pi | / ___ | | / ___ | | / ___ | | / ___ | -----*----*-6*atan\\/ 5 - 2*\/ 6 /*6*atan\\/ 5 - 2*\/ 6 /*-6*atan\\/ 5 + 2*\/ 6 /*6*atan\\/ 5 + 2*\/ 6 / 2 2
$$- \frac{3 \pi}{2} \frac{3 \pi}{2} \left(- 6 \operatorname{atan}{\left(\sqrt{5 - 2 \sqrt{6}} \right)}\right) 6 \operatorname{atan}{\left(\sqrt{5 - 2 \sqrt{6}} \right)} \left(- 6 \operatorname{atan}{\left(\sqrt{2 \sqrt{6} + 5} \right)}\right) 6 \operatorname{atan}{\left(\sqrt{2 \sqrt{6} + 5} \right)}$$
=
/ _____________\ / _____________\
2 2| / ___ | 2| / ___ |
-2916*pi *atan \\/ 5 - 2*\/ 6 /*atan \\/ 5 + 2*\/ 6 /
$$- 2916 \pi^{2} \operatorname{atan}^{2}{\left(\sqrt{5 - 2 \sqrt{6}} \right)} \operatorname{atan}^{2}{\left(\sqrt{2 \sqrt{6} + 5} \right)}$$
-2916*pi^2*atan(sqrt(5 - 2*sqrt(6)))^2*atan(sqrt(5 + 2*sqrt(6)))^2
Respuesta rápida
[src]
-3*pi
x1 = -----
2
$$x_{1} = - \frac{3 \pi}{2}$$
3*pi
x2 = ----
2
$$x_{2} = \frac{3 \pi}{2}$$
/ _____________\
| / ___ |
x3 = -6*atan\\/ 5 - 2*\/ 6 /
$$x_{3} = - 6 \operatorname{atan}{\left(\sqrt{5 - 2 \sqrt{6}} \right)}$$
/ _____________\
| / ___ |
x4 = 6*atan\\/ 5 - 2*\/ 6 /
$$x_{4} = 6 \operatorname{atan}{\left(\sqrt{5 - 2 \sqrt{6}} \right)}$$
/ _____________\
| / ___ |
x5 = -6*atan\\/ 5 + 2*\/ 6 /
$$x_{5} = - 6 \operatorname{atan}{\left(\sqrt{2 \sqrt{6} + 5} \right)}$$
/ _____________\
| / ___ |
x6 = 6*atan\\/ 5 + 2*\/ 6 /
$$x_{6} = 6 \operatorname{atan}{\left(\sqrt{2 \sqrt{6} + 5} \right)}$$
x6 = 6*atan(sqrt(2*sqrt(6) + 5))
Respuesta numérica
[src]
x1 = 58.3951068906274
x2 = 48.9703289298581
x3 = -48.9703289298581
x4 = -82.9765625209133
x5 = 89.5353906273091
x6 = 32.9867228626928
x7 = -77.2446628121662
x8 = 23.5619449019235
x9 = -54.7022286386051
x10 = -51.8362787842316
x11 = -96.094218733705
x12 = 26.427894756297
x13 = 80.1106126665397
x14 = -35.8526727170664
x15 = 17.0031167955276
x16 = 39.5455509690887
x17 = 45.2774506778357
x18 = 77.2446628121662
x19 = 4.71238898038469
x20 = 73.5517845601439
x21 = 82.9765625209133
x22 = 70.6858347057703
x23 = -70.6858347057703
x24 = 101.826118442452
x25 = -20.6959950475499
x26 = 86.6694407729356
x27 = -42.4115008234622
x28 = -26.427894756297
x29 = 64.1270065993745
x30 = 42.4115008234622
x31 = 98.9601685880785
x32 = -23.5619449019235
x33 = -67.8198848513968
x34 = 7.57833883475822
x35 = -61.261056745001
x36 = 30.1207730083193
x37 = 96.094218733705
x38 = 1.84643912601116
x39 = 61.261056745001
x40 = 11.2712170867805
x41 = 14.1371669411541
x42 = 92.4013404816826
x43 = 51.8362787842316
x44 = -1.84643912601116
x45 = -89.5353906273091
x46 = -98.9601685880785
x47 = -17.0031167955276
x48 = -58.3951068906274
x49 = -32.9867228626928
x50 = -39.5455509690887
x51 = -4.71238898038469
x52 = -14.1371669411541
x53 = -45.2774506778357
x54 = -11.2712170867805
x55 = -64.1270065993745
x56 = 20.6959950475499
x57 = 105.518996694474
x58 = 136.659280431156
x59 = -80.1106126665397
x60 = 54.7022286386051
x61 = -30.1207730083193
x62 = -92.4013404816826
x63 = -86.6694407729356
x64 = -73.5517845601439
x65 = 67.8198848513968
x66 = -7.57833883475822
x67 = 35.8526727170664
x67 = 35.8526727170664