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sech(k*20/180*pi)=cos(k*20/180*pi) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
    /k   \      /k   \
sech|-*pi| = cos|-*pi|
    \9   /      \9   /
$$\operatorname{sech}{\left(\pi \frac{k}{9} \right)} = \cos{\left(\pi \frac{k}{9} \right)}$$
Gráfica
Respuesta numérica [src]
k1 = -13.5505685802775
k2 = 0.00458347077683673
k3 = 85.5000000000006
k4 = 40.4999958463522
k5 = 58.4999999922433
k6 = 0.00262114522923707
k7 = -49.5000001794951
k8 = 103.5
k9 = 94.5
k10 = 31.5000961149232
k11 = -40.4999958463522
k12 = 5521.5
k13 = -31.5000961149232
k14 = -103.5
k15 = 67.5000000003352
k16 = -94.5
k17 = 22.4977740306657
k18 = 76.4999999999855
k19 = 49.5000001794951
k20 = 0.0
k21 = -85.5000000000006
k22 = -0.00401848960178279
k23 = -58.4999999922433
k24 = -76.4999999999855
k25 = -22.4977740306657
k26 = 13.5505685802775
k27 = -67.5000000003352
k27 = -67.5000000003352