Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación x^3-x^2-x-1=0
-
Ecuación 3x-2(3x+4)=10
-
Ecuación 12-4(x-3)=39-9x
-
Ecuación 0,2x+2,7=1,4-1,1x
- Expresar {x} en función de y en la ecuación:
- -11*x-3*y=14
- 2*x-15*y=-1
- -18*x-6*y=-1
- 6*x+9*y=-9
- Derivada de:
-
cost
- Integral de d{x}:
- cost
-
Expresiones idénticas
- cost=-✓ dos / dos
- coseno de t es igual a menos ✓2 dividir por 2
- coseno de t es igual a menos ✓ dos dividir por dos
- cost=-✓2 dividir por 2
-
Expresiones semejantes
- cos(t)=√2/2
- cost=+✓2/2
-
Expresiones con funciones
- cost
- cost/5=−1
- cost=-1
- cost/7=−1
- cost=3,4
- cost=2cos2t
cost=-✓2/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___
-\/ 2
cos(t) = -------
2
$$\cos{\left(t \right)} = \frac{\left(-1\right) \sqrt{2}}{2}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(t \right)} = \frac{\left(-1\right) \sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$t = \pi n + \operatorname{acos}{\left(- \frac{\sqrt{2}}{2} \right)}$$
$$t = \pi n - \pi + \operatorname{acos}{\left(- \frac{\sqrt{2}}{2} \right)}$$
O
$$t = \pi n + \frac{3 \pi}{4}$$
$$t = \pi n - \frac{\pi}{4}$$
, donde n es cualquier número entero
$$\cos{\left(t \right)} = \frac{\left(-1\right) \sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$t = \pi n + \operatorname{acos}{\left(- \frac{\sqrt{2}}{2} \right)}$$
$$t = \pi n - \pi + \operatorname{acos}{\left(- \frac{\sqrt{2}}{2} \right)}$$
O
$$t = \pi n + \frac{3 \pi}{4}$$
$$t = \pi n - \frac{\pi}{4}$$
, donde n es cualquier número entero
Suma y producto de raíces
[src]
suma
3*pi 5*pi ---- + ---- 4 4
$$\frac{3 \pi}{4} + \frac{5 \pi}{4}$$
=
2*pi
$$2 \pi$$
producto
3*pi 5*pi ----*---- 4 4
$$\frac{3 \pi}{4} \frac{5 \pi}{4}$$
=
2 15*pi ------ 16
$$\frac{15 \pi^{2}}{16}$$
15*pi^2/16
Respuesta rápida
[src]
3*pi
t1 = ----
4
$$t_{1} = \frac{3 \pi}{4}$$
5*pi
t2 = ----
4
$$t_{2} = \frac{5 \pi}{4}$$
t2 = 5*pi/4
Respuesta numérica
[src]
t1 = 52.621676947629
t2 = 8.63937979737193
t3 = -90.3207887907066
t4 = -46.3384916404494
t5 = 2.35619449019234
t6 = -77.7544181763474
t7 = 3.92699081698724
t8 = 58.9048622548086
t9 = 27.4889357189107
t10 = -79.3252145031423
t11 = -84.037603483527
t12 = -73.0420291959627
t13 = -8.63937979737193
t14 = 54.1924732744239
t15 = 33.7721210260903
t16 = 255.254403104171
t17 = 71.4712328691678
t18 = -65.1880475619882
t19 = 65.1880475619882
t20 = 22.776546738526
t21 = 2584.745355741
t22 = -16.4933614313464
t23 = -2.35619449019234
t24 = -10.2101761241668
t25 = 73.0420291959627
t26 = 46.3384916404494
t27 = 66.7588438887831
t28 = 10.2101761241668
t29 = 60.4756585816035
t30 = -71.4712328691678
t31 = -27.4889357189107
t32 = -96.6039740978861
t33 = -58.9048622548086
t34 = -21.2057504117311
t35 = -98.174770424681
t36 = 79.3252145031423
t37 = 90.3207887907066
t38 = -14.9225651045515
t39 = -66.7588438887831
t40 = -54.1924732744239
t41 = -35.3429173528852
t42 = -3.92699081698724
t43 = 104.457955731861
t44 = -85.6083998103219
t45 = -335.36501577071
t46 = -47.9092879672443
t47 = 16.4933614313464
t48 = 85.6083998103219
t49 = 21.2057504117311
t50 = -40.0553063332699
t51 = 29.0597320457056
t52 = 41.6261026600648
t53 = -91.8915851175014
t54 = 98.174770424681
t55 = 40.0553063332699
t56 = -33.7721210260903
t57 = -29.0597320457056
t58 = 47.9092879672443
t59 = 77.7544181763474
t60 = 96.6039740978861
t61 = 35.3429173528852
t62 = 91.8915851175014
t63 = 14.9225651045515
t64 = 39349.2333843756
t65 = -22.776546738526
t66 = -52.621676947629
t67 = 84.037603483527
t68 = -60.4756585816035
t69 = -41.6261026600648
t69 = -41.6261026600648