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- La ecuación:
-
Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
-
Ecuación x(x^2+2x+1)=6(x+1)
-
Ecuación 4x+1=-3x+15
- Ecuación (3x−36)⋅(x+8)=0
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 13*x-12*y=19
- -9*x+11*y=9
- -4*x-8*y=-20
- Gráfico de la función y =:
- sin(x+pi/2)
-
Expresiones idénticas
- sin(x/ dos)^ dos -cos(x/ dos)^ dos =sin(x+pi/ dos)
- seno de (x dividir por 2) al cuadrado menos coseno de (x dividir por 2) al cuadrado es igual a seno de (x más número pi dividir por 2)
- seno de (x dividir por dos) en el grado dos menos coseno de (x dividir por dos) en el grado dos es igual a seno de (x más número pi dividir por dos)
- sin(x/2)2-cos(x/2)2=sin(x+pi/2)
- sinx/22-cosx/22=sinx+pi/2
- sin(x/2)²-cos(x/2)²=sin(x+pi/2)
- sin(x/2) en el grado 2-cos(x/2) en el grado 2=sin(x+pi/2)
- sinx/2^2-cosx/2^2=sinx+pi/2
- sin(x dividir por 2)^2-cos(x dividir por 2)^2=sin(x+pi dividir por 2)
-
Expresiones semejantes
- sin(x/2)^2-cos(x/2)^2=sin(x-pi/2)
- sin(x/2)^2+cos(x/2)^2=sin(x+pi/2)
- sin((x+pi)/2)=sqrt(2)/2
-
Expresiones con funciones
- Seno sin
- sin(x)=pi
- sin(4*x)=0
- sin(x)^2=1
- sin(x)=(1/2)
- sin(x)+sin(2*x)+sin(3*x)=0
- Coseno cos
- cos(x)=-(4/5)
- cos(x+(pi/6))=-1
- cos(3*x)=1
- cos(x)=-3/2
- cos(x)=1/2
- Seno sin
- sin(x)=pi
- sin(4*x)=0
- sin(x)^2=1
- sin(x)=(1/2)
- sin(x)+sin(2*x)+sin(3*x)=0
sin(x/2)^2-cos(x/2)^2=sin(x+pi/2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2/x\ 2/x\ / pi\
sin |-| - cos |-| = sin|x + --|
\2/ \2/ \ 2 /
$$\sin^{2}{\left(\frac{x}{2} \right)} - \cos^{2}{\left(\frac{x}{2} \right)} = \sin{\left(x + \frac{\pi}{2} \right)}$$
Respuesta rápida
[src]
-7*pi
x1 = -----
2
$$x_{1} = - \frac{7 \pi}{2}$$
-5*pi
x2 = -----
2
$$x_{2} = - \frac{5 \pi}{2}$$
-3*pi
x3 = -----
2
$$x_{3} = - \frac{3 \pi}{2}$$
-pi
x4 = ----
2
$$x_{4} = - \frac{\pi}{2}$$
pi
x5 = --
2
$$x_{5} = \frac{\pi}{2}$$
3*pi
x6 = ----
2
$$x_{6} = \frac{3 \pi}{2}$$
5*pi
x7 = ----
2
$$x_{7} = \frac{5 \pi}{2}$$
7*pi
x8 = ----
2
$$x_{8} = \frac{7 \pi}{2}$$
x8 = 7*pi/2
Suma y producto de raíces
[src]
suma
7*pi 5*pi 3*pi pi pi 3*pi 5*pi 7*pi - ---- - ---- - ---- - -- + -- + ---- + ---- + ---- 2 2 2 2 2 2 2 2
$$\left(\left(\left(\left(\left(\left(- \frac{7 \pi}{2} - \frac{5 \pi}{2}\right) - \frac{3 \pi}{2}\right) - \frac{\pi}{2}\right) + \frac{\pi}{2}\right) + \frac{3 \pi}{2}\right) + \frac{5 \pi}{2}\right) + \frac{7 \pi}{2}$$
=
0
$$0$$
producto
-7*pi -5*pi -3*pi -pi pi 3*pi 5*pi 7*pi -----*-----*-----*----*--*----*----*---- 2 2 2 2 2 2 2 2
$$\frac{7 \pi}{2} \frac{5 \pi}{2} \frac{3 \pi}{2} \frac{\pi}{2} \cdot - \frac{\pi}{2} \cdot - \frac{3 \pi}{2} \cdot - \frac{7 \pi}{2} \left(- \frac{5 \pi}{2}\right)$$
=
8 11025*pi --------- 256
$$\frac{11025 \pi^{8}}{256}$$
11025*pi^8/256
Respuesta numérica
[src]
x1 = 48.6946861306418
x2 = 54.9778714378214
x3 = -98.9601685880785
x4 = 67.5442420521806
x5 = 76.9690200129499
x6 = 36.1283155162826
x7 = -3623.82712591583
x8 = 58.1194640914112
x9 = 14.1371669411541
x10 = -29.845130209103
x11 = 61.261056745001
x12 = -36.1283155162826
x13 = -4.71238898038469
x14 = -39.2699081698724
x15 = 1.5707963267949
x16 = -14.1371669411541
x17 = -64.4026493985908
x18 = -67.5442420521806
x19 = 92.6769832808989
x20 = -51.8362787842316
x21 = -86.3937979737193
x22 = 42.4115008234622
x23 = -17.2787595947439
x24 = -45.553093477052
x25 = -89.5353906273091
x26 = -1.5707963267949
x27 = 39.2699081698724
x28 = 23.5619449019235
x29 = 7.85398163397448
x30 = -58.1194640914112
x31 = -61.261056745001
x32 = -73.8274273593601
x33 = 73.8274273593601
x34 = 29.845130209103
x35 = 4.71238898038469
x36 = 86.3937979737193
x37 = 64.4026493985908
x38 = 89.5353906273091
x39 = -20.4203522483337
x40 = -387.986692718339
x41 = -26.7035375555132
x42 = 98.9601685880785
x43 = 51.8362787842316
x44 = 83.2522053201295
x45 = -48.6946861306418
x46 = -54.9778714378214
x47 = 70.6858347057703
x48 = -95.8185759344887
x49 = 26.7035375555132
x50 = 80.1106126665397
x51 = -23.5619449019235
x52 = -7.85398163397448
x53 = -83.2522053201295
x54 = -76.9690200129499
x55 = -42.4115008234622
x56 = -32.9867228626928
x57 = 17.2787595947439
x58 = 32.9867228626928
x59 = 20.4203522483337
x60 = -70.6858347057703
x61 = -10.9955742875643
x62 = -92.6769832808989
x63 = -196.349540849362
x64 = 45.553093477052
x65 = 10.9955742875643
x66 = -80.1106126665397
x67 = 95.8185759344887
x68 = -2266.65909956504
x68 = -2266.65909956504