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- La ecuación:
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Ecuación 6*x^2+x-7=0
-
Ecuación 2-5(3+2x)=17
-
Ecuación (6*x+8)/2+5=5*x/3
-
Ecuación 2+3x=−2x−13
- Expresar {x} en función de y en la ecuación:
- 6*x+4*y=15
- -4*x+4*y=-9
- 3*x-12*y=-14
- 1*x+4*y=-16
-
Expresiones idénticas
- 5sin^ dos (x)+ dos sin(x)cos(x)-cos^2(x)= uno
- 5 seno de al cuadrado (x) más 2 seno de (x) coseno de (x) menos coseno de al cuadrado (x) es igual a 1
- 5 seno de en el grado dos (x) más dos seno de (x) coseno de (x) menos coseno de al cuadrado (x) es igual a uno
- 5sin2(x)+2sin(x)cos(x)-cos2(x)=1
- 5sin2x+2sinxcosx-cos2x=1
- 5sin²(x)+2sin(x)cos(x)-cos²(x)=1
- 5sin en el grado 2(x)+2sin(x)cos(x)-cos en el grado 2(x)=1
- 5sin^2x+2sinxcosx-cos^2x=1
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Expresiones semejantes
- 5sin^2(x)-2sin(x)cos(x)-cos^2(x)=1
- 5sin^2(x)+2sin(x)cos(x)+cos^2(x)=1
- 5sin^2(x)+2sinxcosx-cos^2(x)=1
-
Expresiones con funciones
- Coseno cos
- cos(2pi×x)-3sin(pi×x)+1=0
- cos(x+(|x|))=1
- cos(x-3/4)=0
- cos(x)=-0,7
- cos(y)=x-3
- Coseno cos
- cos(2pi×x)-3sin(pi×x)+1=0
- cos(x+(|x|))=1
- cos(x-3/4)=0
- cos(x)=-0,7
- cos(y)=x-3
5sin^2(x)+2sin(x)cos(x)-cos^2(x)=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2 5*sin (x) + 2*sin(x)*cos(x) - cos (x) = 1
$$\left(5 \sin^{2}{\left(x \right)} + 2 \sin{\left(x \right)} \cos{\left(x \right)}\right) - \cos^{2}{\left(x \right)} = 1$$
Respuesta rápida
[src]
-pi
x1 = ----
4
$$x_{1} = - \frac{\pi}{4}$$
3*pi
x2 = ----
4
$$x_{2} = \frac{3 \pi}{4}$$
/ ___\ x3 = -2*atan\2 - \/ 5 /
$$x_{3} = - 2 \operatorname{atan}{\left(2 - \sqrt{5} \right)}$$
/ ___\ x4 = -2*atan\2 + \/ 5 /
$$x_{4} = - 2 \operatorname{atan}{\left(2 + \sqrt{5} \right)}$$
x4 = -2*atan(2 + sqrt(5))
Suma y producto de raíces
[src]
suma
pi 3*pi / ___\ / ___\ - -- + ---- - 2*atan\2 - \/ 5 / - 2*atan\2 + \/ 5 / 4 4
$$- 2 \operatorname{atan}{\left(2 + \sqrt{5} \right)} + \left(- 2 \operatorname{atan}{\left(2 - \sqrt{5} \right)} + \left(- \frac{\pi}{4} + \frac{3 \pi}{4}\right)\right)$$
=
pi / ___\ / ___\ -- - 2*atan\2 + \/ 5 / - 2*atan\2 - \/ 5 / 2
$$- 2 \operatorname{atan}{\left(2 + \sqrt{5} \right)} - 2 \operatorname{atan}{\left(2 - \sqrt{5} \right)} + \frac{\pi}{2}$$
producto
-pi 3*pi / ___\ / ___\ ----*----*-2*atan\2 - \/ 5 /*-2*atan\2 + \/ 5 / 4 4
$$- \frac{\pi}{4} \frac{3 \pi}{4} \left(- 2 \operatorname{atan}{\left(2 - \sqrt{5} \right)}\right) \left(- 2 \operatorname{atan}{\left(2 + \sqrt{5} \right)}\right)$$
=
2 / ___\ / ___\
-3*pi *atan\2 + \/ 5 /*atan\2 - \/ 5 /
--------------------------------------
4
$$- \frac{3 \pi^{2} \operatorname{atan}{\left(2 - \sqrt{5} \right)} \operatorname{atan}{\left(2 + \sqrt{5} \right)}}{4}$$
-3*pi^2*atan(2 + sqrt(5))*atan(2 - sqrt(5))/4
Respuesta numérica
[src]
x1 = -49.8018348484359
x2 = -93.784131998693
x3 = -41.6261026600648
x4 = 9.88842556977019
x5 = 18.0641577581413
x6 = -21.5275009661277
x7 = -5.81953769817878
x8 = 88.428241909515
x9 = 159.435827169682
x10 = 40.0553063332699
x11 = -47.9092879672443
x12 = 96.6039740978861
x13 = 0.463647609000806
x14 = -27.8106862733073
x15 = -13.3517687777566
x16 = -3.92699081698724
x17 = 97.8530198702844
x18 = 52.621676947629
x19 = -63.6172512351933
x20 = 55.7632696012188
x21 = 44.4459447592579
x22 = -10.2101761241668
x23 = -66.7588438887831
x24 = 38.1627594520783
x25 = 16.1716108769498
x26 = -85.6083998103219
x27 = 33.7721210260903
x28 = -57.3340659280137
x29 = 91.5698345631048
x30 = -32.2013246992954
x31 = 30.6305283725005
x32 = -15850.1203355239
x33 = 2.35619449019234
x34 = -43.5186495412563
x35 = 47.5875374128477
x36 = -126.449104306989
x37 = -98.174770424681
x38 = 46.3384916404494
x39 = 99.7455667514759
x40 = -91.8915851175014
x41 = 22.4547961841294
x42 = -78.076168730744
x43 = -19.6349540849362
x44 = -62.3682054627951
x45 = 25.5963888377192
x46 = 84.037603483527
x47 = -76.1836218495525
x48 = -71.7929834235644
x49 = -87.5009466915134
x50 = 68.329640215578
x51 = -40.3770568876665
x52 = -84.3593540379236
x53 = -56.0850201556155
x54 = 62.0464549083984
x55 = -25.9181393921158
x56 = -18.385908312538
x57 = 53.8707227200273
x58 = -12.1027230053584
x59 = -35.3429173528852
x60 = 60.1539080272069
x61 = -65.5097981163849
x62 = 90.3207887907066
x63 = 69.5786859879763
x64 = 66.4370933343865
x65 = -34.0938715804869
x66 = 11.7809724509617
x67 = 8.63937979737193
x68 = 74.6128255227576
x69 = -54.1924732744239
x70 = 3.6052402625906
x71 = -100.067317305873
x72 = -79.3252145031423
x73 = -69.9004365423729
x74 = 24.3473430653209
x75 = 75.8618712951559
x76 = 82.1450566023354
x77 = 31.8795741448987
x78 = 77.7544181763474
x78 = 77.7544181763474