Sr Examen
Otras calculadoras
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- La ecuación:
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Ecuación x/4+13=x+1
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Ecuación 0,2x+2,7=1,4-1,1x
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Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
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Ecuación 5(x-2)^2=-6x-44
- Expresar {x} en función de y en la ecuación:
- -2*x+14*y=9
- -6*x-20*y=8
- 2*x-8*y=4
- -9*x-1*y=6
- Derivada de:
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2*sin(x)*cos(x)
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1/2
- Gráfico de la función y =:
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2*sin(x)*cos(x)
- Forma canónica:
- 2*sin(x)*cos(x)
- Suma de la serie:
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1/2
- Límite de la función:
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1/2
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Expresiones idénticas
- dos *sin(x)*cos(x)= uno / dos
- 2 multiplicar por seno de (x) multiplicar por coseno de (x) es igual a 1 dividir por 2
- dos multiplicar por seno de (x) multiplicar por coseno de (x) es igual a uno dividir por dos
- 2sin(x)cos(x)=1/2
- 2sinxcosx=1/2
- 2*sin(x)*cos(x)=1 dividir por 2
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Expresiones semejantes
- 2sin(x)*cos(x)=-1
- sin(x)^(2)+2sin(x)*cos(x)-3cos(x)^2=0
- 2sinx*cosx=1,54
- 2*sinx*cosx=1/2
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Expresiones con funciones
- Seno sin
- sin(x)=pi
- sin(x)=a
- sin(3*x)=-1
- sin(x)=1/3
- sin(4*x)=0
- Coseno cos
- cos(x)=x^2+1
- cos(3*x-pi/4)=-1
- cos(x)=-8
- cos(x)=-(2/5)
- cos(x+pi/3)=0
2*sin(x)*cos(x)=1/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2*sin(x)*cos(x) = 1/2
$$2 \sin{\left(x \right)} \cos{\left(x \right)} = \frac{1}{2}$$
Suma y producto de raíces
[src]
suma
/ ___________\ / ___________\ / ___________\ / ___________\
| ___ / ___ | | ___ / ___ | | ___ / ___ | | ___ / ___ |
2*atan\-2 + \/ 3 + 2*\/ 2 - \/ 3 / - 2*atan\2 - \/ 3 + 2*\/ 2 - \/ 3 / - 2*atan\2 + \/ 3 + 2*\/ 2 + \/ 3 / - 2*atan\2 + \/ 3 - 2*\/ 2 + \/ 3 /
$$\left(- 2 \operatorname{atan}{\left(\sqrt{3} + 2 + 2 \sqrt{\sqrt{3} + 2} \right)} + \left(- 2 \operatorname{atan}{\left(- \sqrt{3} + 2 \sqrt{2 - \sqrt{3}} + 2 \right)} + 2 \operatorname{atan}{\left(-2 + 2 \sqrt{2 - \sqrt{3}} + \sqrt{3} \right)}\right)\right) - 2 \operatorname{atan}{\left(- 2 \sqrt{\sqrt{3} + 2} + \sqrt{3} + 2 \right)}$$
=
/ ___________\ / ___________\ / ___________\ / ___________\
| ___ / ___ | | ___ / ___ | | ___ / ___ | | ___ / ___ |
- 2*atan\2 + \/ 3 - 2*\/ 2 + \/ 3 / - 2*atan\2 + \/ 3 + 2*\/ 2 + \/ 3 / - 2*atan\2 - \/ 3 + 2*\/ 2 - \/ 3 / + 2*atan\-2 + \/ 3 + 2*\/ 2 - \/ 3 /
$$- 2 \operatorname{atan}{\left(\sqrt{3} + 2 + 2 \sqrt{\sqrt{3} + 2} \right)} - 2 \operatorname{atan}{\left(- \sqrt{3} + 2 \sqrt{2 - \sqrt{3}} + 2 \right)} - 2 \operatorname{atan}{\left(- 2 \sqrt{\sqrt{3} + 2} + \sqrt{3} + 2 \right)} + 2 \operatorname{atan}{\left(-2 + 2 \sqrt{2 - \sqrt{3}} + \sqrt{3} \right)}$$
producto
/ ___________\ / ___________\ / ___________\ / ___________\
| ___ / ___ | | ___ / ___ | | ___ / ___ | | ___ / ___ |
2*atan\-2 + \/ 3 + 2*\/ 2 - \/ 3 /*-2*atan\2 - \/ 3 + 2*\/ 2 - \/ 3 /*-2*atan\2 + \/ 3 + 2*\/ 2 + \/ 3 /*-2*atan\2 + \/ 3 - 2*\/ 2 + \/ 3 /
$$2 \operatorname{atan}{\left(-2 + 2 \sqrt{2 - \sqrt{3}} + \sqrt{3} \right)} \left(- 2 \operatorname{atan}{\left(- \sqrt{3} + 2 \sqrt{2 - \sqrt{3}} + 2 \right)}\right) \left(- 2 \operatorname{atan}{\left(\sqrt{3} + 2 + 2 \sqrt{\sqrt{3} + 2} \right)}\right) \left(- 2 \operatorname{atan}{\left(- 2 \sqrt{\sqrt{3} + 2} + \sqrt{3} + 2 \right)}\right)$$
=
/ ___________\ / ___________\ / ___________\ / ___________\
| ___ / ___ | | ___ / ___ | | ___ / ___ | | ___ / ___ |
-16*atan\-2 + \/ 3 + 2*\/ 2 - \/ 3 /*atan\2 + \/ 3 - 2*\/ 2 + \/ 3 /*atan\2 + \/ 3 + 2*\/ 2 + \/ 3 /*atan\2 - \/ 3 + 2*\/ 2 - \/ 3 /
$$- 16 \operatorname{atan}{\left(-2 + 2 \sqrt{2 - \sqrt{3}} + \sqrt{3} \right)} \operatorname{atan}{\left(- \sqrt{3} + 2 \sqrt{2 - \sqrt{3}} + 2 \right)} \operatorname{atan}{\left(\sqrt{3} + 2 + 2 \sqrt{\sqrt{3} + 2} \right)} \operatorname{atan}{\left(- 2 \sqrt{\sqrt{3} + 2} + \sqrt{3} + 2 \right)}$$
-16*atan(-2 + sqrt(3) + 2*sqrt(2 - sqrt(3)))*atan(2 + sqrt(3) - 2*sqrt(2 + sqrt(3)))*atan(2 + sqrt(3) + 2*sqrt(2 + sqrt(3)))*atan(2 - sqrt(3) + 2*sqrt(2 - sqrt(3)))
Respuesta rápida
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/ ___________\
| ___ / ___ |
x1 = 2*atan\-2 + \/ 3 + 2*\/ 2 - \/ 3 /
$$x_{1} = 2 \operatorname{atan}{\left(-2 + 2 \sqrt{2 - \sqrt{3}} + \sqrt{3} \right)}$$
/ ___________\
| ___ / ___ |
x2 = -2*atan\2 - \/ 3 + 2*\/ 2 - \/ 3 /
$$x_{2} = - 2 \operatorname{atan}{\left(- \sqrt{3} + 2 \sqrt{2 - \sqrt{3}} + 2 \right)}$$
/ ___________\
| ___ / ___ |
x3 = -2*atan\2 + \/ 3 + 2*\/ 2 + \/ 3 /
$$x_{3} = - 2 \operatorname{atan}{\left(\sqrt{3} + 2 + 2 \sqrt{\sqrt{3} + 2} \right)}$$
/ ___________\
| ___ / ___ |
x4 = -2*atan\2 + \/ 3 - 2*\/ 2 + \/ 3 /
$$x_{4} = - 2 \operatorname{atan}{\left(- 2 \sqrt{\sqrt{3} + 2} + \sqrt{3} + 2 \right)}$$
x4 = -2*atan(-2*sqrt(sqrt(3) + 2) + sqrt(3) + 2)
Respuesta numérica
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x1 = -81.4196096055355
x2 = -64.6644487863899
x3 = 31.6777259236971
x4 = 6.54498469497874
x5 = -78.2780169519457
x6 = -87.7027949127151
x7 = -40.5789051088682
x8 = -30.1069295969022
x9 = 79.8488132787406
x10 = -21.7293491873294
x11 = 34.8193185772869
x12 = 73.565627971561
x13 = 72.5184304203644
x14 = 37.9609112308767
x15 = -8.11578102177363
x16 = -45.8148928648512
x17 = -9.16297857297023
x18 = -36.3901149040818
x19 = 4.45058959258554
x20 = -1.83259571459405
x21 = 66.2352451131848
x22 = -58.3812634792103
x23 = -65.7116463375865
x24 = 81.9432083811338
x25 = -55.2396708256205
x26 = 50.5272818452358
x27 = -100.269165527074
x28 = -39.5317075576716
x29 = -89.7971900151083
x30 = -83.5140047079287
x31 = -56.2868683768171
x32 = 53.6688744988256
x33 = -37.4373124552784
x34 = -43.720497762458
x35 = -23.8237442897226
x36 = -42.6733002112614
x37 = 26.4417381677141
x38 = 44.2440965380563
x39 = 20.1585528605345
x40 = 70.4240353179712
x41 = 88.2263936883134
x42 = -50.0036830696375
x43 = -15.4461638801498
x44 = 35.8665161284835
x45 = 0.261799387799149
x46 = 64.1408500107916
x47 = -74.0892267471593
x48 = -71.9948316447661
x49 = 59.9520598060052
x50 = 15.9697626557481
x51 = -61.5228561328001
x52 = 7.59218224617533
x53 = -75.1364242983559
x54 = 42.1497014356631
x55 = 57.857664703612
x56 = -31.1541271480988
x57 = -6.02138591938044
x58 = -28.012534494509
x59 = -67.8060414399797
x60 = -17.540558982543
x61 = -93.9859802198946
x62 = -80.3724120543389
x63 = 48.4328867428426
x64 = 51.5744793964324
x65 = 12.8281700021583
x66 = -97.1275728734844
x67 = -12.30457122656
x68 = 45.2912940892529
x69 = -96.0803753222878
x70 = 28.5361332701073
x71 = 86.1319985859202
x72 = -53.1452757232273
x73 = 100.792764302673
x74 = -52.0980781720307
x75 = 94.5095789954929
x76 = 78.801615727544
x77 = 13.8753675533549
x78 = -694.030177055545
x79 = 22.2529479629277
x80 = -14.3989663289532
x81 = -34.2957198016886
x82 = 75.6600230739542
x83 = 56.8104671524154
x84 = 9.68657734856853
x85 = 95.5567765466895
x86 = 92.4151838930998
x87 = -86.6555973615185
x88 = 29.5833308213039
x89 = -59.4284610304069
x89 = -59.4284610304069
Gráfico