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- La ecuación:
- Ecuación x^2-49=0
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Ecuación 1-x/2=x/3
-
Ecuación 3*x^2-9=0
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Ecuación -8x-17=3x-105
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
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- -19*x+14*y=20
- 5*x-14*y=-15
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Expresiones idénticas
- 2sin(x)cos(x)+sin(x)+cos(x)= uno
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- 2 seno de (x) coseno de (x) más seno de (x) más coseno de (x) es igual a uno
- 2sinxcosx+sinx+cosx=1
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Expresiones semejantes
- 2sin(x)cos(x)-sin(x)+cos(x)=1
- 2sin(x)cos(x)+sin(x)-cos(x)=1
- 2sinxcosx+sinx+cosx=1
-
Expresiones con funciones
- Coseno cos
- cos(x)=-x+pi/2
- cos(x^2)=1
- cos(x)=1
- cos^2(x)=-1
- cos((pi*(8*x+1)/6))=sqrt(3)/2
- Seno sin
- sin(2x)=0
- sin(x)=a
- sin(x)^2=1/2
- sin(3*x)+sin(x)=0
- sin((pi*x)/4)=-1
- Coseno cos
- cos(x)=-x+pi/2
- cos(x^2)=1
- cos(x)=1
- cos^2(x)=-1
- cos((pi*(8*x+1)/6))=sqrt(3)/2
2sin(x)cos(x)+sin(x)+cos(x)=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2*sin(x)*cos(x) + sin(x) + cos(x) = 1
$$\left(\sin{\left(x \right)} + 2 \sin{\left(x \right)} \cos{\left(x \right)}\right) + \cos{\left(x \right)} = 1$$
Respuesta rápida
[src]
x1 = 0
$$x_{1} = 0$$
pi
x2 = --
2
$$x_{2} = \frac{\pi}{2}$$
/ / ___\\ / / ___\\ x3 = - 2*re\atan\1 - I*\/ 2 // - 2*I*im\atan\1 - I*\/ 2 //
$$x_{3} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(1 - \sqrt{2} i \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(1 - \sqrt{2} i \right)}\right)}$$
/ / ___\\ / / ___\\ x4 = - 2*re\atan\1 + I*\/ 2 // - 2*I*im\atan\1 + I*\/ 2 //
$$x_{4} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(1 + \sqrt{2} i \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(1 + \sqrt{2} i \right)}\right)}$$
x4 = -2*re(atan(1 + sqrt(2)*i)) - 2*i*im(atan(1 + sqrt(2)*i))
Suma y producto de raíces
[src]
suma
pi / / ___\\ / / ___\\ / / ___\\ / / ___\\ -- + - 2*re\atan\1 - I*\/ 2 // - 2*I*im\atan\1 - I*\/ 2 // + - 2*re\atan\1 + I*\/ 2 // - 2*I*im\atan\1 + I*\/ 2 // 2
$$\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(1 + \sqrt{2} i \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(1 + \sqrt{2} i \right)}\right)}\right) + \left(\frac{\pi}{2} + \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(1 - \sqrt{2} i \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(1 - \sqrt{2} i \right)}\right)}\right)\right)$$
=
pi / / ___\\ / / ___\\ / / ___\\ / / ___\\ -- - 2*re\atan\1 + I*\/ 2 // - 2*re\atan\1 - I*\/ 2 // - 2*I*im\atan\1 + I*\/ 2 // - 2*I*im\atan\1 - I*\/ 2 // 2
$$- 2 \operatorname{re}{\left(\operatorname{atan}{\left(1 + \sqrt{2} i \right)}\right)} - 2 \operatorname{re}{\left(\operatorname{atan}{\left(1 - \sqrt{2} i \right)}\right)} + \frac{\pi}{2} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(1 + \sqrt{2} i \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(1 - \sqrt{2} i \right)}\right)}$$
producto
pi / / / ___\\ / / ___\\\ / / / ___\\ / / ___\\\ 0*--*\- 2*re\atan\1 - I*\/ 2 // - 2*I*im\atan\1 - I*\/ 2 ///*\- 2*re\atan\1 + I*\/ 2 // - 2*I*im\atan\1 + I*\/ 2 /// 2
$$0 \frac{\pi}{2} \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(1 - \sqrt{2} i \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(1 - \sqrt{2} i \right)}\right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(1 + \sqrt{2} i \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(1 + \sqrt{2} i \right)}\right)}\right)$$
=
0
$$0$$
0
Respuesta numérica
[src]
x1 = 43.9822971502571
x2 = -43.9822971502571
x3 = 81.6814089933346
x4 = -31.4159265358979
x5 = 64.4026493985908
x6 = 70.6858347057703
x7 = -25.1327412287183
x8 = 7.85398163397448
x9 = 39.2699081698724
x10 = -94.2477796076938
x11 = -157.07963267949
x12 = 6.28318530717959
x13 = -92.6769832808989
x14 = -23.5619449019235
x15 = -50.2654824574367
x16 = -75.398223686155
x17 = -1036.72557568463
x18 = -56.5486677646163
x19 = -80.1106126665397
x20 = 50.2654824574367
x21 = -69.1150383789755
x22 = -100.530964914873
x23 = 45.553093477052
x24 = -607.898178469625
x25 = -873.362757697962
x26 = 56.5486677646163
x27 = -62.8318530717959
x28 = -67.5442420521806
x29 = -87.9645943005142
x30 = 18.8495559215388
x31 = 51.8362787842316
x32 = 100.530964914873
x33 = 62.8318530717959
x34 = 94.2477796076938
x35 = 12.5663706143592
x36 = -4.71238898038469
x37 = 95.8185759344887
x38 = -86.3937979737193
x39 = -36.1283155162826
x40 = -17.2787595947439
x41 = 20.4203522483337
x42 = 87.9645943005142
x43 = -48.6946861306418
x44 = 14.1371669411541
x45 = -6.28318530717959
x46 = -73.8274273593601
x47 = 26.7035375555132
x48 = -37.6991118430775
x49 = 89.5353906273091
x50 = -81.6814089933346
x51 = 58.1194640914112
x52 = -61.261056745001
x53 = 37.6991118430775
x54 = 1.5707963267949
x55 = 25.1327412287183
x56 = -42.4115008234622
x57 = 0.0
x58 = -29.845130209103
x58 = -29.845130209103