Sr Examen

Otras calculadoras

4*(cos(t))=3*(sin(t)) 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] 
4*cos(t) = 3*sin(t)
4cos⁡(t)=3sin⁡(t)4 \cos{\left(t \right)} = 3 \sin{\left(t \right)}
Simplificar
Solución detallada
Tenemos la ecuación
4cos⁡(t)=3sin⁡(t)4 \cos{\left(t \right)} = 3 \sin{\left(t \right)}
cambiamos:
−3sin⁡(t)cos⁡(t)=−4- \frac{3 \sin{\left(t \right)}}{\cos{\left(t \right)}} = -4
o
−3tan⁡(t)=−4- 3 \tan{\left(t \right)} = -4
es la ecuación trigonométrica más simple
Dividamos ambos miembros de la ecuación en -3

La ecuación se convierte en
tan⁡(t)=−43\tan{\left(t \right)} = - \frac{4}{3}
Esta ecuación se reorganiza en
t=πn+atan⁡(−43)t = \pi n + \operatorname{atan}{\left(- \frac{4}{3} \right)}
O
t=πn−atan⁡(43)t = \pi n - \operatorname{atan}{\left(\frac{4}{3} \right)}
, donde n es cualquier número entero
Gráfica
0-80-60-40-2020406080-100100-1010
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
t1 = atan(4/3)
t1=atan⁡(43)t_{1} = \operatorname{atan}{\left(\frac{4}{3} \right)} 
t1 = atan(4/3)
Suma y producto de raíces [src] 
suma
atan(4/3)
atan⁡(43)\operatorname{atan}{\left(\frac{4}{3} \right)} 
=
atan(4/3)
atan⁡(43)\operatorname{atan}{\left(\frac{4}{3} \right)} 
producto
atan(4/3)
atan⁡(43)\operatorname{atan}{\left(\frac{4}{3} \right)} 
=
atan(4/3)
atan⁡(43)\operatorname{atan}{\left(\frac{4}{3} \right)} 
atan(4/3)
Respuesta numérica [src] 
t1 = 51.1927776754383
t2 = 60.6175556362077
t3 = -49.3381872394351
t4 = 19.7768511395404
t5 = 82.6087042113362
t6 = -39.9134092786657
t7 = -24.2054460107167
t8 = 70.0423335969771
t9 = -87.0372990825126
t10 = -77.6125211217432
t11 = -30.4886313178963
t12 = -5.35589008917797
t13 = -93.3204843896922
t14 = -17.9222607035371
t15 = -96.462077043282
t16 = 35.4848144074893
t17 = -90.1788917361024
t18 = -68.1877431609738
t19 = -14.7806680499474
t20 = -46.1965945858453
t21 = 16.6352584859506
t22 = -52.4797798930249
t23 = 7.2104805251812
t24 = 63.7591482897975
t25 = -61.9045578537943
t26 = -83.8957064289228
t27 = -43.0550019322555
t28 = 22.9184437931302
t29 = 41.7679997146689
t30 = 95.1750748256954
t31 = 32.3432217538995
t32 = -99.6036696968718
t33 = 48.0511850218485
t34 = 54.3343703290281
t35 = 44.9095923682587
t36 = -8.49748274276777
t37 = 88.8918895185158
t38 = -65.046150507384
t39 = -74.4709284681534
t40 = -36.7718166250759
t41 = -2.21429743558818
t42 = -80.754113775333
t43 = -55.6213725466147
t44 = 57.4759629826179
t45 = -11.6390753963576
t46 = 92.0334821721056
t47 = 79.4671115577464
t48 = 73.1839262505669
t49 = 38.6264070610791
t50 = 98.3166674792852
t51 = -206.417819918925
t52 = 76.3255189041567
t53 = 104.599852786465
t54 = -21.0638533571269
t55 = 10.352073178771
t56 = -27.3470386643065
t57 = 13.4936658323608
t58 = 4.06888787159141
t59 = 26.06003644672
t60 = -58.7629652002045
t61 = 29.2016291003098
t62 = 66.9007409433873
t63 = -33.6302239714861
t64 = -58357.297837866
t65 = 85.750296864926
t66 = 0.927295218001612
t67 = -71.3293358145636
t67 = -71.3293358145636
    © Sr Examen – Калькулятор