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Solución de sistemas de ecuaciones/ cosx=0.8; tgx=y

cosx=0.8; tgx=y

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Gráfico:

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Solución

Ha introducido [src] 
cos(x) = 4/5
cos⁡(x)=45\cos{\left(x \right)} = \frac{4}{5} 
tan(x) = y
tan⁡(x)=y\tan{\left(x \right)} = y 
tan(x) = y
Respuesta rápida
x1=−acos⁡(45)+2πx_{1} = - \operatorname{acos}{\left(\frac{4}{5} \right)} + 2 \pi
=
−acos⁡(45)+2π- \operatorname{acos}{\left(\frac{4}{5} \right)} + 2 \pi
=
5.6396841983863

y1=−34y_{1} = - \frac{3}{4}
=
−34- \frac{3}{4}
=
-0.75
x2=acos⁡(45)x_{2} = \operatorname{acos}{\left(\frac{4}{5} \right)}
=
acos⁡(45)\operatorname{acos}{\left(\frac{4}{5} \right)}
=
0.643501108793284

y2=34y_{2} = \frac{3}{4}
=
34\frac{3}{4}
=
0.75
Respuesta numérica [src] 
x1 = -5.639684198386302
y1 = 0.75
x2 = 0.6435011087932844
y2 = 0.75
x3 = 5.639684198386302
y3 = -0.75
x4 = -13.20987172315246
y4 = -0.75
x5 = 13.20987172315246
y5 = 0.75
x5 = 13.20987172315246
y5 = 0.75
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