Sr Examen

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cosx=0.8; tgx=y

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Gráfico:

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Solución

Ha introducido [src]
cos(x) = 4/5
$$\cos{\left(x \right)} = \frac{4}{5}$$
tan(x) = y
$$\tan{\left(x \right)} = y$$
tan(x) = y
Respuesta rápida
$$x_{1} = - \operatorname{acos}{\left(\frac{4}{5} \right)} + 2 \pi$$
=
$$- \operatorname{acos}{\left(\frac{4}{5} \right)} + 2 \pi$$
=
5.6396841983863

$$y_{1} = - \frac{3}{4}$$
=
$$- \frac{3}{4}$$
=
-0.75
$$x_{2} = \operatorname{acos}{\left(\frac{4}{5} \right)}$$
=
$$\operatorname{acos}{\left(\frac{4}{5} \right)}$$
=
0.643501108793284

$$y_{2} = \frac{3}{4}$$
=
$$\frac{3}{4}$$
=
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