Sr Examen

Otras calculadoras


cos(x)=1/3

cos(x)=1/3 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cos(x) = 1/3
$$\cos{\left(x \right)} = \frac{1}{3}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = \frac{1}{3}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(\frac{1}{3} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{1}{3} \right)}$$
O
$$x = \pi n + \operatorname{acos}{\left(\frac{1}{3} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{1}{3} \right)}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
-acos(1/3) + 2*pi + acos(1/3)
$$\operatorname{acos}{\left(\frac{1}{3} \right)} + \left(- \operatorname{acos}{\left(\frac{1}{3} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
(-acos(1/3) + 2*pi)*acos(1/3)
$$\left(- \operatorname{acos}{\left(\frac{1}{3} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{1}{3} \right)}$$
=
(-acos(1/3) + 2*pi)*acos(1/3)
$$\left(- \operatorname{acos}{\left(\frac{1}{3} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{1}{3} \right)}$$
(-acos(1/3) + 2*pi)*acos(1/3)
Respuesta rápida [src]
x1 = -acos(1/3) + 2*pi
$$x_{1} = - \operatorname{acos}{\left(\frac{1}{3} \right)} + 2 \pi$$
x2 = acos(1/3)
$$x_{2} = \operatorname{acos}{\left(\frac{1}{3} \right)}$$
x2 = acos(1/3)
Respuesta numérica [src]
x1 = 55.3177083472755
x2 = 26.3637006460591
x3 = 17.618596504198
x4 = 82.9123684106754
x5 = 7.51414472452036
x6 = -1.23095941734077
x7 = -5.05222588983881
x8 = -99.3000054975326
x9 = -89.195553717855
x10 = -11.3354111970184
x11 = 93.016820190353
x12 = -76.6291831034958
x13 = 1.23095941734077
x14 = 86.7336348831734
x15 = -86.7336348831734
x16 = 80.4504495759938
x17 = 64.0628124891366
x18 = -55.3177083472755
x19 = -7.51414472452036
x20 = 5.05222588983881
x21 = -45.2132565675979
x22 = 76.6291831034958
x23 = 57.7796271819571
x24 = 36.4681524257367
x25 = -20.0805153388795
x26 = -70.3459977963162
x27 = 38.9300712604183
x28 = -42.7513377329163
x29 = 20.0805153388795
x30 = -82.9123684106754
x31 = -57.7796271819571
x32 = 99.3000054975326
x33 = -67.8840789616347
x34 = 70.3459977963162
x35 = 45.2132565675979
x36 = 49.0345230400959
x37 = -32.6468859532387
x38 = -93.016820190353
x39 = 95.4787390250346
x40 = -26.3637006460591
x41 = 30.1849671185572
x42 = 42.7513377329163
x43 = 61.6008936544551
x44 = -51.4964418747775
x45 = -23.9017818113776
x46 = -95.4787390250346
x47 = 23.9017818113776
x48 = 74.1672642688143
x49 = 13.7973300316999
x50 = -38.9300712604183
x51 = -74.1672642688143
x52 = -325.494676555998
x53 = -80.4504495759938
x54 = 67.8840789616347
x55 = -64.0628124891366
x56 = -101.761924332214
x57 = -13.7973300316999
x58 = 32.6468859532387
x59 = 11.3354111970184
x60 = -49.0345230400959
x61 = -17.618596504198
x62 = -36.4681524257367
x63 = -30.1849671185572
x64 = 89.195553717855
x65 = 51.4964418747775
x66 = -61.6008936544551
x66 = -61.6008936544551
Gráfico
cos(x)=1/3 la ecuación