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- La ecuación:
-
Ecuación x^2-11*x+30=0
- Ecuación x^2+y^2=9
-
Ecuación -33-y=-19
-
Ecuación 11/(x-9)=-10
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -4*x+6*y=-7
- -7*x-13*y=5
- -18*x+8*y=-2
- Gráfico de la función y =:
- 3*sin(x)+4*cos(x)
-
Expresiones idénticas
- tres *sin(x)+ cuatro *cos(x)= uno
- 3 multiplicar por seno de (x) más 4 multiplicar por coseno de (x) es igual a 1
- tres multiplicar por seno de (x) más cuatro multiplicar por coseno de (x) es igual a uno
- 3sin(x)+4cos(x)=1
- 3sinx+4cosx=1
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Expresiones semejantes
- 3*sin(x)-4*cos(x)=1
- 3*sinx+4*cosx=1
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Expresiones con funciones
- Seno sin
- sin(x)=1,5
- sin(x-1)=0
- sin(x)=-√2/2
- sin(x)^3+cos(x)^3=1
- sin(pi*x/3)=1/2
- Coseno cos
- cos(x/3)=-1
- cos(x)=-3
- cos(0.5-y)-0.5y+2=0
- cos(7*x)+cos(x)=0
- cos(x)/5=1
3*sin(x)+4*cos(x)=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3*sin(x) + 4*cos(x) = 1
$$3 \sin{\left(x \right)} + 4 \cos{\left(x \right)} = 1$$
Suma y producto de raíces
[src]
suma
/ ___\ / ___\
|3 2*\/ 6 | |3 2*\/ 6 |
2*atan|- - -------| + 2*atan|- + -------|
\5 5 / \5 5 /
$$2 \operatorname{atan}{\left(\frac{3}{5} - \frac{2 \sqrt{6}}{5} \right)} + 2 \operatorname{atan}{\left(\frac{3}{5} + \frac{2 \sqrt{6}}{5} \right)}$$
=
/ ___\ / ___\
|3 2*\/ 6 | |3 2*\/ 6 |
2*atan|- - -------| + 2*atan|- + -------|
\5 5 / \5 5 /
$$2 \operatorname{atan}{\left(\frac{3}{5} - \frac{2 \sqrt{6}}{5} \right)} + 2 \operatorname{atan}{\left(\frac{3}{5} + \frac{2 \sqrt{6}}{5} \right)}$$
producto
/ ___\ / ___\
|3 2*\/ 6 | |3 2*\/ 6 |
2*atan|- - -------|*2*atan|- + -------|
\5 5 / \5 5 /
$$2 \operatorname{atan}{\left(\frac{3}{5} - \frac{2 \sqrt{6}}{5} \right)} 2 \operatorname{atan}{\left(\frac{3}{5} + \frac{2 \sqrt{6}}{5} \right)}$$
=
/ ___\ / ___\
|3 2*\/ 6 | |3 2*\/ 6 |
4*atan|- - -------|*atan|- + -------|
\5 5 / \5 5 /
$$4 \operatorname{atan}{\left(\frac{3}{5} - \frac{2 \sqrt{6}}{5} \right)} \operatorname{atan}{\left(\frac{3}{5} + \frac{2 \sqrt{6}}{5} \right)}$$
4*atan(3/5 - 2*sqrt(6)/5)*atan(3/5 + 2*sqrt(6)/5)
Respuesta rápida
[src]
/ ___\
|3 2*\/ 6 |
x1 = 2*atan|- - -------|
\5 5 /
$$x_{1} = 2 \operatorname{atan}{\left(\frac{3}{5} - \frac{2 \sqrt{6}}{5} \right)}$$
/ ___\
|3 2*\/ 6 |
x2 = 2*atan|- + -------|
\5 5 /
$$x_{2} = 2 \operatorname{atan}{\left(\frac{3}{5} + \frac{2 \sqrt{6}}{5} \right)}$$
x2 = 2*atan(3/5 + 2*sqrt(6)/5)
Respuesta numérica
[src]
x1 = -38.4250491402888
x2 = -25.8586785259296
x3 = -54.5357282498184
x4 = 93.5218423104825
x5 = -35.6861723282797
x6 = 62.1059157745846
x7 = 18.1236186243275
x8 = -60.818913556998
x9 = 96.2607191224917
x10 = -32.1418638331092
x11 = 58.5616072794141
x12 = -88.6905315977255
x13 = 74.6722863889438
x14 = -7.00912260439087
x15 = 80.9554716961233
x16 = 190.508498730185
x17 = 52.2784219722345
x18 = 99.8050276176621
x19 = 33.4288660506958
x20 = 30.6899892386866
x21 = 2.01293951479785
x22 = 27.1456807435162
x23 = -85.9516547857164
x24 = 24.4068039315071
x25 = 68.3891010817642
x26 = -16.8366164067409
x27 = -29.4029870211001
x28 = 45.995236665055
x29 = 55.822730467405
x30 = -48.2525429426388
x31 = -50.991419754648
x32 = 133.959830965569
x33 = -10.5534310995613
x34 = 49.5395451602254
x35 = -4.27024579238174
x36 = 20.8624954363366
x37 = -23.1198017139205
x38 = -92.234840092896
x39 = -57.2746050618276
x40 = 5.5572480099683
x41 = 77.4111632009529
x42 = -67.1020988641776
x43 = -73.3852841713572
x44 = 8.29612482197744
x45 = -79.6684694785368
x46 = 87.2386570033029
x47 = -98.5180254000755
x48 = 39.7120513578754
x49 = 11.8404333171479
x50 = -41.9693576354593
x51 = 36.9731745458662
x52 = -82.4073462905459
x53 = -0.725937297211281
x54 = 83.6943485081325
x55 = 71.1279778937733
x56 = -69.8409756761867
x57 = 43.2563598530458
x58 = -63.5577903690071
x59 = -44.7082344474684
x60 = 64.8447925865937
x61 = 14.579310129157
x62 = -19.57549321875
x63 = -94.9737169049051
x64 = -13.2923079115705
x65 = -76.1241609833663
x66 = 89.9775338153121
x66 = 89.9775338153121
Gráfico