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- La ecuación:
-
Ecuación cos2x=1
-
Ecuación 6x^2-24=0
-
Ecuación x^2-4*x-1=0
- Ecuación 3x-8=x-2
- Expresar {x} en función de y en la ecuación:
- 9*x-8*y=6
- 2*x-5*y=-5
- 1*x+5*y=-17
- 20*x-10*y=-13
- Integral de d{x}:
- cos2x
- Derivada de:
-
cos2x
- Gráfico de la función y =:
-
cos2x
-
Expresiones idénticas
- cos2x= uno
- coseno de 2x es igual a 1
- coseno de 2x es igual a uno
-
Expresiones semejantes
- cos(2x)=0
- cos(2x)=-1
- sin(2x)-cos(2x)=3/4
- -2cos^2x-7cosx-3=0
cos2x=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\cos{\left(2 x \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = \pi n + \operatorname{acos}{\left(1 \right)}$$
$$2 x = \pi n - \pi + \operatorname{acos}{\left(1 \right)}$$
O
$$2 x = \pi n$$
$$2 x = \pi n - \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{2}$$
$$x_{2} = \frac{\pi n}{2} - \frac{\pi}{2}$$
$$\cos{\left(2 x \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = \pi n + \operatorname{acos}{\left(1 \right)}$$
$$2 x = \pi n - \pi + \operatorname{acos}{\left(1 \right)}$$
O
$$2 x = \pi n$$
$$2 x = \pi n - \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{2}$$
$$x_{2} = \frac{\pi n}{2} - \frac{\pi}{2}$$
Respuesta numérica
[src]
x1 = 47.123889589354
x2 = -31.4159267051849
x3 = -47.123890151099
x4 = 50.2654824463473
x5 = -65.9734457650176
x6 = 94.2477796093525
x7 = -69.1150386253436
x8 = -34.5575189426108
x9 = 59.6902605976901
x10 = -106.814150357553
x11 = -47.1238900492539
x12 = 43.982297169427
x13 = 97.3893725148693
x14 = 91.1061867314459
x15 = -28.2743337166085
x16 = 31.4159271479423
x17 = -97.3893724403711
x18 = -6371388.6625218
x19 = 18.8495554002244
x20 = 87.9645943357576
x21 = 53.4070756765307
x22 = -62.8318528379059
x23 = 75.3982241944528
x24 = 56.5486676091327
x25 = 9.42477859080277
x26 = 47.123890018392
x27 = 40.8407042560881
x28 = 18.8495556796107
x29 = -40.8407042660168
x30 = 65.9734457528975
x31 = -100.530964672522
x32 = -78.5398160958028
x33 = 40.840703919946
x34 = -84.82300141007
x35 = 34.5575190304759
x36 = 81.6814091761104
x37 = -3.14159311568248
x38 = 6.28318528425126
x39 = 3.14159244884412
x40 = 12.5663704518704
x41 = -50.2654822953391
x42 = -37.6991118771514
x43 = 25.1327414478072
x44 = 100.530964766599
x45 = -91.106187201329
x46 = 9.42477821024198
x47 = -6.28318513794069
x48 = -91.1061872003049
x49 = 37.6991120192083
x50 = -53.4070752836338
x51 = -25.132741473063
x52 = -25.132741632083
x53 = 53.4070753627408
x54 = -12.5663703661411
x55 = -56.5486675191652
x56 = -1734.15914475848
x57 = -34.5575189701076
x58 = -72.2566308741333
x59 = 62.8318528326557
x60 = -12.5663700417108
x61 = -87.9645943587732
x62 = -75.3982238620294
x63 = 25.1327410188866
x64 = 0.0
x65 = 69.1150381602162
x66 = -15.7079632965264
x67 = -21.9911485864515
x68 = 91.1061871583643
x69 = 75.3982239388525
x70 = -31.4159267959754
x71 = -81.6814090380061
x72 = 15.7079634406648
x73 = -9.42477812668337
x74 = 3.14159287686128
x75 = 84.8230014093114
x76 = -59.6902604576401
x77 = -3.14159289677385
x78 = 69.1150385885879
x79 = -40.8407046898283
x80 = -94.2477794529919
x81 = 21.9911485851964
x82 = -18.8495561207399
x83 = -62.8318532583801
x84 = 84.8230010166547
x85 = 31.4159267865366
x86 = -69.1150386737158
x87 = -84.8230018263493
x88 = 62.8318524523063
x89 = -18.8495556944209
x90 = 78.5398161878405
x91 = 72.256631027719
x92 = 28.2743338652012
x93 = -43.9822971745789
x94 = 97.3893727097471
x94 = 97.3893727097471
Gráfico