Sr Examen
Otras calculadoras
- Sistemas de desigualdades paso a paso
- Ecuaciones básicas paso a paso
- Sistemas de ecuaciones paso a paso
- Solución de desigualdades trigonométricas en línea
- Resolución de desigualdades exponenciales en línea
- Resolución de desigualdades con un módulo en línea
-
¿Cómo usar?
- Desigualdades:
-
(x+1)*(x-9)>0
-
2-7x>0
-
(x-5)^2/(x-1)>0
-
-16/(x+2)^2-5>=0
-
Expresiones idénticas
- tg(x)abs(cos(x))> cero
- tg(x)abs( coseno de (x)) más 0
- tg(x)abs( coseno de (x)) más cero
- tgxabscosx>0
-
Expresiones semejantes
- tg(x)abs(cosx)>0
-
Expresiones con funciones
- tg
- tg5x>1
- tgx≥-1
- tgx>-(sqrt3/3)
- tg2x>=1
- tg(x)<-√3
- abs
- abs(1/(lg0,5/lg((3-x)^2)+2))*(x^2-16)<=0
- abs((2-x)/(3x+1))>1
- abs(2x+1)>1-2abs(x-1)
- abs(sin(3x))<=sqrt(2)/2
- abs(x+2a)<1/x
- Coseno cos
- cos(x)>-sqrt(3)/2
- cos(x)<sqrt3/2
- cos(x)<sqrt(3)/2
- cosx≥√3/2
- cosx≥-√3/2
tg(x)abs(cos(x))>0 desigualdades
Solución
Ha introducido
[src]
tan(x)*|cos(x)| > 0
$$\tan{\left(x \right)} \left|{\cos{\left(x \right)}}\right| > 0$$
tan(x)*Abs(cos(x)) > 0
Solución detallada
Se da la desigualdad:
$$\tan{\left(x \right)} \left|{\cos{\left(x \right)}}\right| > 0$$
Para resolver esta desigualdad primero hay que resolver la ecuación correspondiente:
$$\tan{\left(x \right)} \left|{\cos{\left(x \right)}}\right| = 0$$
Resolvemos:
$$x_{1} = -59.6902604182061$$
$$x_{2} = -62.8318530717959$$
$$x_{3} = -97.3893722612836$$
$$x_{4} = 87.9645943005142$$
$$x_{5} = -56.5486677646163$$
$$x_{6} = 31.4159265358979$$
$$x_{7} = 69.1150383789755$$
$$x_{8} = -37.6991118430775$$
$$x_{9} = -81.6814089933346$$
$$x_{10} = 42119.3327066784$$
$$x_{11} = -84.8230016469244$$
$$x_{12} = -21.9911485751286$$
$$x_{13} = 47.1238898038469$$
$$x_{14} = -15.707963267949$$
$$x_{15} = -12.5663706143592$$
$$x_{16} = 12.5663706143592$$
$$x_{17} = -87.9645943005142$$
$$x_{18} = 53.4070751110265$$
$$x_{19} = -182.212373908208$$
$$x_{20} = -100.530964914873$$
$$x_{21} = -3.14159265358979$$
$$x_{22} = 72.2566310325652$$
$$x_{23} = 34.5575191894877$$
$$x_{24} = -94.2477796076938$$
$$x_{25} = 6.28318530717959$$
$$x_{26} = -69.1150383789755$$
$$x_{27} = 97.3893722612836$$
$$x_{28} = 0$$
$$x_{29} = 65.9734457253857$$
$$x_{30} = -50.2654824574367$$
$$x_{31} = 15.707963267949$$
$$x_{32} = 3.14159265358979$$
$$x_{33} = -25.1327412287183$$
$$x_{34} = -18.8495559215388$$
$$x_{35} = 40.8407044966673$$
$$x_{36} = -53.4070751110265$$
$$x_{37} = 37.6991118430775$$
$$x_{38} = -43.9822971502571$$
$$x_{39} = 18.8495559215388$$
$$x_{40} = -78.5398163397448$$
$$x_{41} = -6.28318530717959$$
$$x_{42} = -40.8407044966673$$
$$x_{43} = 43.9822971502571$$
$$x_{44} = 56.5486677646163$$
$$x_{45} = -65.9734457253857$$
$$x_{46} = -430.398193541802$$
$$x_{47} = 25.1327412287183$$
$$x_{48} = 78.5398163397448$$
$$x_{49} = -28.2743338823081$$
$$x_{50} = 75.398223686155$$
$$x_{51} = 59.6902604182061$$
$$x_{52} = -34.5575191894877$$
$$x_{53} = 81.6814089933346$$
$$x_{54} = -47.1238898038469$$
$$x_{55} = 100.530964914873$$
$$x_{56} = -9.42477796076938$$
$$x_{57} = 223.053078404875$$
$$x_{58} = -75.398223686155$$
$$x_{59} = -358.141562509236$$
$$x_{60} = 28.2743338823081$$
$$x_{61} = -72.2566310325652$$
$$x_{62} = -91.106186954104$$
$$x_{63} = -295.309709437441$$
$$x_{64} = 21.9911485751286$$
$$x_{65} = 62.8318530717959$$
$$x_{66} = -31.4159265358979$$
$$x_{67} = 9.42477796076938$$
$$x_{68} = 50.2654824574367$$
$$x_{69} = 94.2477796076938$$
$$x_{70} = 91.106186954104$$
$$x_{71} = -116.238928182822$$
$$x_{72} = 84.8230016469244$$
$$x_{1} = -59.6902604182061$$
$$x_{2} = -62.8318530717959$$
$$x_{3} = -97.3893722612836$$
$$x_{4} = 87.9645943005142$$
$$x_{5} = -56.5486677646163$$
$$x_{6} = 31.4159265358979$$
$$x_{7} = 69.1150383789755$$
$$x_{8} = -37.6991118430775$$
$$x_{9} = -81.6814089933346$$
$$x_{10} = 42119.3327066784$$
$$x_{11} = -84.8230016469244$$
$$x_{12} = -21.9911485751286$$
$$x_{13} = 47.1238898038469$$
$$x_{14} = -15.707963267949$$
$$x_{15} = -12.5663706143592$$
$$x_{16} = 12.5663706143592$$
$$x_{17} = -87.9645943005142$$
$$x_{18} = 53.4070751110265$$
$$x_{19} = -182.212373908208$$
$$x_{20} = -100.530964914873$$
$$x_{21} = -3.14159265358979$$
$$x_{22} = 72.2566310325652$$
$$x_{23} = 34.5575191894877$$
$$x_{24} = -94.2477796076938$$
$$x_{25} = 6.28318530717959$$
$$x_{26} = -69.1150383789755$$
$$x_{27} = 97.3893722612836$$
$$x_{28} = 0$$
$$x_{29} = 65.9734457253857$$
$$x_{30} = -50.2654824574367$$
$$x_{31} = 15.707963267949$$
$$x_{32} = 3.14159265358979$$
$$x_{33} = -25.1327412287183$$
$$x_{34} = -18.8495559215388$$
$$x_{35} = 40.8407044966673$$
$$x_{36} = -53.4070751110265$$
$$x_{37} = 37.6991118430775$$
$$x_{38} = -43.9822971502571$$
$$x_{39} = 18.8495559215388$$
$$x_{40} = -78.5398163397448$$
$$x_{41} = -6.28318530717959$$
$$x_{42} = -40.8407044966673$$
$$x_{43} = 43.9822971502571$$
$$x_{44} = 56.5486677646163$$
$$x_{45} = -65.9734457253857$$
$$x_{46} = -430.398193541802$$
$$x_{47} = 25.1327412287183$$
$$x_{48} = 78.5398163397448$$
$$x_{49} = -28.2743338823081$$
$$x_{50} = 75.398223686155$$
$$x_{51} = 59.6902604182061$$
$$x_{52} = -34.5575191894877$$
$$x_{53} = 81.6814089933346$$
$$x_{54} = -47.1238898038469$$
$$x_{55} = 100.530964914873$$
$$x_{56} = -9.42477796076938$$
$$x_{57} = 223.053078404875$$
$$x_{58} = -75.398223686155$$
$$x_{59} = -358.141562509236$$
$$x_{60} = 28.2743338823081$$
$$x_{61} = -72.2566310325652$$
$$x_{62} = -91.106186954104$$
$$x_{63} = -295.309709437441$$
$$x_{64} = 21.9911485751286$$
$$x_{65} = 62.8318530717959$$
$$x_{66} = -31.4159265358979$$
$$x_{67} = 9.42477796076938$$
$$x_{68} = 50.2654824574367$$
$$x_{69} = 94.2477796076938$$
$$x_{70} = 91.106186954104$$
$$x_{71} = -116.238928182822$$
$$x_{72} = 84.8230016469244$$
Las raíces dadas
$$x_{46} = -430.398193541802$$
$$x_{59} = -358.141562509236$$
$$x_{63} = -295.309709437441$$
$$x_{19} = -182.212373908208$$
$$x_{71} = -116.238928182822$$
$$x_{20} = -100.530964914873$$
$$x_{3} = -97.3893722612836$$
$$x_{24} = -94.2477796076938$$
$$x_{62} = -91.106186954104$$
$$x_{17} = -87.9645943005142$$
$$x_{11} = -84.8230016469244$$
$$x_{9} = -81.6814089933346$$
$$x_{40} = -78.5398163397448$$
$$x_{58} = -75.398223686155$$
$$x_{61} = -72.2566310325652$$
$$x_{26} = -69.1150383789755$$
$$x_{45} = -65.9734457253857$$
$$x_{2} = -62.8318530717959$$
$$x_{1} = -59.6902604182061$$
$$x_{5} = -56.5486677646163$$
$$x_{36} = -53.4070751110265$$
$$x_{30} = -50.2654824574367$$
$$x_{54} = -47.1238898038469$$
$$x_{38} = -43.9822971502571$$
$$x_{42} = -40.8407044966673$$
$$x_{8} = -37.6991118430775$$
$$x_{52} = -34.5575191894877$$
$$x_{66} = -31.4159265358979$$
$$x_{49} = -28.2743338823081$$
$$x_{33} = -25.1327412287183$$
$$x_{12} = -21.9911485751286$$
$$x_{34} = -18.8495559215388$$
$$x_{14} = -15.707963267949$$
$$x_{15} = -12.5663706143592$$
$$x_{56} = -9.42477796076938$$
$$x_{41} = -6.28318530717959$$
$$x_{21} = -3.14159265358979$$
$$x_{28} = 0$$
$$x_{32} = 3.14159265358979$$
$$x_{25} = 6.28318530717959$$
$$x_{67} = 9.42477796076938$$
$$x_{16} = 12.5663706143592$$
$$x_{31} = 15.707963267949$$
$$x_{39} = 18.8495559215388$$
$$x_{64} = 21.9911485751286$$
$$x_{47} = 25.1327412287183$$
$$x_{60} = 28.2743338823081$$
$$x_{6} = 31.4159265358979$$
$$x_{23} = 34.5575191894877$$
$$x_{37} = 37.6991118430775$$
$$x_{35} = 40.8407044966673$$
$$x_{43} = 43.9822971502571$$
$$x_{13} = 47.1238898038469$$
$$x_{68} = 50.2654824574367$$
$$x_{18} = 53.4070751110265$$
$$x_{44} = 56.5486677646163$$
$$x_{51} = 59.6902604182061$$
$$x_{65} = 62.8318530717959$$
$$x_{29} = 65.9734457253857$$
$$x_{7} = 69.1150383789755$$
$$x_{22} = 72.2566310325652$$
$$x_{50} = 75.398223686155$$
$$x_{48} = 78.5398163397448$$
$$x_{53} = 81.6814089933346$$
$$x_{72} = 84.8230016469244$$
$$x_{4} = 87.9645943005142$$
$$x_{70} = 91.106186954104$$
$$x_{69} = 94.2477796076938$$
$$x_{27} = 97.3893722612836$$
$$x_{55} = 100.530964914873$$
$$x_{57} = 223.053078404875$$
$$x_{10} = 42119.3327066784$$
son puntos de cambio del signo de desigualdad en las soluciones.
Primero definámonos con el signo hasta el punto extremo izquierdo:
$$x_{0} < x_{46}$$
Consideremos, por ejemplo, el punto
$$x_{0} = x_{46} - \frac{1}{10}$$
=
$$-430.398193541802 + - \frac{1}{10}$$
=
$$-430.498193541802$$
lo sustituimos en la expresión
$$\tan{\left(x \right)} \left|{\cos{\left(x \right)}}\right| > 0$$
$$\tan{\left(-430.498193541802 \right)} \left|{\cos{\left(-430.498193541802 \right)}}\right| > 0$$
Entonces
$$x < -430.398193541802$$
no se cumple
significa que una de las soluciones de nuestra ecuación será con:
$$x > -430.398193541802 \wedge x < -358.141562509236$$
Recibiremos otras soluciones de la desigualdad pasando al polo siguiente etc.
etc.
Respuesta:
$$x > -430.398193541802 \wedge x < -358.141562509236$$
$$x > -295.309709437441 \wedge x < -182.212373908208$$
$$x > -116.238928182822 \wedge x < -100.530964914873$$
$$x > -97.3893722612836 \wedge x < -94.2477796076938$$
$$x > -91.106186954104 \wedge x < -87.9645943005142$$
$$x > -84.8230016469244 \wedge x < -81.6814089933346$$
$$x > -78.5398163397448 \wedge x < -75.398223686155$$
$$x > -72.2566310325652 \wedge x < -69.1150383789755$$
$$x > -65.9734457253857 \wedge x < -62.8318530717959$$
$$x > -59.6902604182061 \wedge x < -56.5486677646163$$
$$x > -53.4070751110265 \wedge x < -50.2654824574367$$
$$x > -47.1238898038469 \wedge x < -43.9822971502571$$
$$x > -40.8407044966673 \wedge x < -37.6991118430775$$
$$x > -34.5575191894877 \wedge x < -31.4159265358979$$
$$x > -28.2743338823081 \wedge x < -25.1327412287183$$
$$x > -21.9911485751286 \wedge x < -18.8495559215388$$
$$x > -15.707963267949 \wedge x < -12.5663706143592$$
$$x > -9.42477796076938 \wedge x < -6.28318530717959$$
$$x > -3.14159265358979 \wedge x < 0$$
$$x > 3.14159265358979 \wedge x < 6.28318530717959$$
$$x > 9.42477796076938 \wedge x < 12.5663706143592$$
$$x > 15.707963267949 \wedge x < 18.8495559215388$$
$$x > 21.9911485751286 \wedge x < 25.1327412287183$$
$$x > 28.2743338823081 \wedge x < 31.4159265358979$$
$$x > 34.5575191894877 \wedge x < 37.6991118430775$$
$$x > 40.8407044966673 \wedge x < 43.9822971502571$$
$$x > 47.1238898038469 \wedge x < 50.2654824574367$$
$$x > 53.4070751110265 \wedge x < 56.5486677646163$$
$$x > 59.6902604182061 \wedge x < 62.8318530717959$$
$$x > 65.9734457253857 \wedge x < 69.1150383789755$$
$$x > 72.2566310325652 \wedge x < 75.398223686155$$
$$x > 78.5398163397448 \wedge x < 81.6814089933346$$
$$x > 84.8230016469244 \wedge x < 87.9645943005142$$
$$x > 91.106186954104 \wedge x < 94.2477796076938$$
$$x > 97.3893722612836 \wedge x < 100.530964914873$$
$$x > 223.053078404875 \wedge x < 42119.3327066784$$
$$\tan{\left(x \right)} \left|{\cos{\left(x \right)}}\right| > 0$$
Para resolver esta desigualdad primero hay que resolver la ecuación correspondiente:
$$\tan{\left(x \right)} \left|{\cos{\left(x \right)}}\right| = 0$$
Resolvemos:
$$x_{1} = -59.6902604182061$$
$$x_{2} = -62.8318530717959$$
$$x_{3} = -97.3893722612836$$
$$x_{4} = 87.9645943005142$$
$$x_{5} = -56.5486677646163$$
$$x_{6} = 31.4159265358979$$
$$x_{7} = 69.1150383789755$$
$$x_{8} = -37.6991118430775$$
$$x_{9} = -81.6814089933346$$
$$x_{10} = 42119.3327066784$$
$$x_{11} = -84.8230016469244$$
$$x_{12} = -21.9911485751286$$
$$x_{13} = 47.1238898038469$$
$$x_{14} = -15.707963267949$$
$$x_{15} = -12.5663706143592$$
$$x_{16} = 12.5663706143592$$
$$x_{17} = -87.9645943005142$$
$$x_{18} = 53.4070751110265$$
$$x_{19} = -182.212373908208$$
$$x_{20} = -100.530964914873$$
$$x_{21} = -3.14159265358979$$
$$x_{22} = 72.2566310325652$$
$$x_{23} = 34.5575191894877$$
$$x_{24} = -94.2477796076938$$
$$x_{25} = 6.28318530717959$$
$$x_{26} = -69.1150383789755$$
$$x_{27} = 97.3893722612836$$
$$x_{28} = 0$$
$$x_{29} = 65.9734457253857$$
$$x_{30} = -50.2654824574367$$
$$x_{31} = 15.707963267949$$
$$x_{32} = 3.14159265358979$$
$$x_{33} = -25.1327412287183$$
$$x_{34} = -18.8495559215388$$
$$x_{35} = 40.8407044966673$$
$$x_{36} = -53.4070751110265$$
$$x_{37} = 37.6991118430775$$
$$x_{38} = -43.9822971502571$$
$$x_{39} = 18.8495559215388$$
$$x_{40} = -78.5398163397448$$
$$x_{41} = -6.28318530717959$$
$$x_{42} = -40.8407044966673$$
$$x_{43} = 43.9822971502571$$
$$x_{44} = 56.5486677646163$$
$$x_{45} = -65.9734457253857$$
$$x_{46} = -430.398193541802$$
$$x_{47} = 25.1327412287183$$
$$x_{48} = 78.5398163397448$$
$$x_{49} = -28.2743338823081$$
$$x_{50} = 75.398223686155$$
$$x_{51} = 59.6902604182061$$
$$x_{52} = -34.5575191894877$$
$$x_{53} = 81.6814089933346$$
$$x_{54} = -47.1238898038469$$
$$x_{55} = 100.530964914873$$
$$x_{56} = -9.42477796076938$$
$$x_{57} = 223.053078404875$$
$$x_{58} = -75.398223686155$$
$$x_{59} = -358.141562509236$$
$$x_{60} = 28.2743338823081$$
$$x_{61} = -72.2566310325652$$
$$x_{62} = -91.106186954104$$
$$x_{63} = -295.309709437441$$
$$x_{64} = 21.9911485751286$$
$$x_{65} = 62.8318530717959$$
$$x_{66} = -31.4159265358979$$
$$x_{67} = 9.42477796076938$$
$$x_{68} = 50.2654824574367$$
$$x_{69} = 94.2477796076938$$
$$x_{70} = 91.106186954104$$
$$x_{71} = -116.238928182822$$
$$x_{72} = 84.8230016469244$$
$$x_{1} = -59.6902604182061$$
$$x_{2} = -62.8318530717959$$
$$x_{3} = -97.3893722612836$$
$$x_{4} = 87.9645943005142$$
$$x_{5} = -56.5486677646163$$
$$x_{6} = 31.4159265358979$$
$$x_{7} = 69.1150383789755$$
$$x_{8} = -37.6991118430775$$
$$x_{9} = -81.6814089933346$$
$$x_{10} = 42119.3327066784$$
$$x_{11} = -84.8230016469244$$
$$x_{12} = -21.9911485751286$$
$$x_{13} = 47.1238898038469$$
$$x_{14} = -15.707963267949$$
$$x_{15} = -12.5663706143592$$
$$x_{16} = 12.5663706143592$$
$$x_{17} = -87.9645943005142$$
$$x_{18} = 53.4070751110265$$
$$x_{19} = -182.212373908208$$
$$x_{20} = -100.530964914873$$
$$x_{21} = -3.14159265358979$$
$$x_{22} = 72.2566310325652$$
$$x_{23} = 34.5575191894877$$
$$x_{24} = -94.2477796076938$$
$$x_{25} = 6.28318530717959$$
$$x_{26} = -69.1150383789755$$
$$x_{27} = 97.3893722612836$$
$$x_{28} = 0$$
$$x_{29} = 65.9734457253857$$
$$x_{30} = -50.2654824574367$$
$$x_{31} = 15.707963267949$$
$$x_{32} = 3.14159265358979$$
$$x_{33} = -25.1327412287183$$
$$x_{34} = -18.8495559215388$$
$$x_{35} = 40.8407044966673$$
$$x_{36} = -53.4070751110265$$
$$x_{37} = 37.6991118430775$$
$$x_{38} = -43.9822971502571$$
$$x_{39} = 18.8495559215388$$
$$x_{40} = -78.5398163397448$$
$$x_{41} = -6.28318530717959$$
$$x_{42} = -40.8407044966673$$
$$x_{43} = 43.9822971502571$$
$$x_{44} = 56.5486677646163$$
$$x_{45} = -65.9734457253857$$
$$x_{46} = -430.398193541802$$
$$x_{47} = 25.1327412287183$$
$$x_{48} = 78.5398163397448$$
$$x_{49} = -28.2743338823081$$
$$x_{50} = 75.398223686155$$
$$x_{51} = 59.6902604182061$$
$$x_{52} = -34.5575191894877$$
$$x_{53} = 81.6814089933346$$
$$x_{54} = -47.1238898038469$$
$$x_{55} = 100.530964914873$$
$$x_{56} = -9.42477796076938$$
$$x_{57} = 223.053078404875$$
$$x_{58} = -75.398223686155$$
$$x_{59} = -358.141562509236$$
$$x_{60} = 28.2743338823081$$
$$x_{61} = -72.2566310325652$$
$$x_{62} = -91.106186954104$$
$$x_{63} = -295.309709437441$$
$$x_{64} = 21.9911485751286$$
$$x_{65} = 62.8318530717959$$
$$x_{66} = -31.4159265358979$$
$$x_{67} = 9.42477796076938$$
$$x_{68} = 50.2654824574367$$
$$x_{69} = 94.2477796076938$$
$$x_{70} = 91.106186954104$$
$$x_{71} = -116.238928182822$$
$$x_{72} = 84.8230016469244$$
Las raíces dadas
$$x_{46} = -430.398193541802$$
$$x_{59} = -358.141562509236$$
$$x_{63} = -295.309709437441$$
$$x_{19} = -182.212373908208$$
$$x_{71} = -116.238928182822$$
$$x_{20} = -100.530964914873$$
$$x_{3} = -97.3893722612836$$
$$x_{24} = -94.2477796076938$$
$$x_{62} = -91.106186954104$$
$$x_{17} = -87.9645943005142$$
$$x_{11} = -84.8230016469244$$
$$x_{9} = -81.6814089933346$$
$$x_{40} = -78.5398163397448$$
$$x_{58} = -75.398223686155$$
$$x_{61} = -72.2566310325652$$
$$x_{26} = -69.1150383789755$$
$$x_{45} = -65.9734457253857$$
$$x_{2} = -62.8318530717959$$
$$x_{1} = -59.6902604182061$$
$$x_{5} = -56.5486677646163$$
$$x_{36} = -53.4070751110265$$
$$x_{30} = -50.2654824574367$$
$$x_{54} = -47.1238898038469$$
$$x_{38} = -43.9822971502571$$
$$x_{42} = -40.8407044966673$$
$$x_{8} = -37.6991118430775$$
$$x_{52} = -34.5575191894877$$
$$x_{66} = -31.4159265358979$$
$$x_{49} = -28.2743338823081$$
$$x_{33} = -25.1327412287183$$
$$x_{12} = -21.9911485751286$$
$$x_{34} = -18.8495559215388$$
$$x_{14} = -15.707963267949$$
$$x_{15} = -12.5663706143592$$
$$x_{56} = -9.42477796076938$$
$$x_{41} = -6.28318530717959$$
$$x_{21} = -3.14159265358979$$
$$x_{28} = 0$$
$$x_{32} = 3.14159265358979$$
$$x_{25} = 6.28318530717959$$
$$x_{67} = 9.42477796076938$$
$$x_{16} = 12.5663706143592$$
$$x_{31} = 15.707963267949$$
$$x_{39} = 18.8495559215388$$
$$x_{64} = 21.9911485751286$$
$$x_{47} = 25.1327412287183$$
$$x_{60} = 28.2743338823081$$
$$x_{6} = 31.4159265358979$$
$$x_{23} = 34.5575191894877$$
$$x_{37} = 37.6991118430775$$
$$x_{35} = 40.8407044966673$$
$$x_{43} = 43.9822971502571$$
$$x_{13} = 47.1238898038469$$
$$x_{68} = 50.2654824574367$$
$$x_{18} = 53.4070751110265$$
$$x_{44} = 56.5486677646163$$
$$x_{51} = 59.6902604182061$$
$$x_{65} = 62.8318530717959$$
$$x_{29} = 65.9734457253857$$
$$x_{7} = 69.1150383789755$$
$$x_{22} = 72.2566310325652$$
$$x_{50} = 75.398223686155$$
$$x_{48} = 78.5398163397448$$
$$x_{53} = 81.6814089933346$$
$$x_{72} = 84.8230016469244$$
$$x_{4} = 87.9645943005142$$
$$x_{70} = 91.106186954104$$
$$x_{69} = 94.2477796076938$$
$$x_{27} = 97.3893722612836$$
$$x_{55} = 100.530964914873$$
$$x_{57} = 223.053078404875$$
$$x_{10} = 42119.3327066784$$
son puntos de cambio del signo de desigualdad en las soluciones.
Primero definámonos con el signo hasta el punto extremo izquierdo:
$$x_{0} < x_{46}$$
Consideremos, por ejemplo, el punto
$$x_{0} = x_{46} - \frac{1}{10}$$
=
$$-430.398193541802 + - \frac{1}{10}$$
=
$$-430.498193541802$$
lo sustituimos en la expresión
$$\tan{\left(x \right)} \left|{\cos{\left(x \right)}}\right| > 0$$
$$\tan{\left(-430.498193541802 \right)} \left|{\cos{\left(-430.498193541802 \right)}}\right| > 0$$
-0.0998334166468517 > 0
Entonces
$$x < -430.398193541802$$
no se cumple
significa que una de las soluciones de nuestra ecuación será con:
$$x > -430.398193541802 \wedge x < -358.141562509236$$
_____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____
/ \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \
-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------
x46 x59 x63 x19 x71 x20 x3 x24 x62 x17 x11 x9 x40 x58 x61 x26 x45 x2 x1 x5 x36 x30 x54 x38 x42 x8 x52 x66 x49 x33 x12 x34 x14 x15 x56 x41 x21 x28 x32 x25 x67 x16 x31 x39 x64 x47 x60 x6 x23 x37 x35 x43 x13 x68 x18 x44 x51 x65 x29 x7 x22 x50 x48 x53 x72 x4 x70 x69 x27 x55 x57 x10Recibiremos otras soluciones de la desigualdad pasando al polo siguiente etc.
etc.
Respuesta:
$$x > -430.398193541802 \wedge x < -358.141562509236$$
$$x > -295.309709437441 \wedge x < -182.212373908208$$
$$x > -116.238928182822 \wedge x < -100.530964914873$$
$$x > -97.3893722612836 \wedge x < -94.2477796076938$$
$$x > -91.106186954104 \wedge x < -87.9645943005142$$
$$x > -84.8230016469244 \wedge x < -81.6814089933346$$
$$x > -78.5398163397448 \wedge x < -75.398223686155$$
$$x > -72.2566310325652 \wedge x < -69.1150383789755$$
$$x > -65.9734457253857 \wedge x < -62.8318530717959$$
$$x > -59.6902604182061 \wedge x < -56.5486677646163$$
$$x > -53.4070751110265 \wedge x < -50.2654824574367$$
$$x > -47.1238898038469 \wedge x < -43.9822971502571$$
$$x > -40.8407044966673 \wedge x < -37.6991118430775$$
$$x > -34.5575191894877 \wedge x < -31.4159265358979$$
$$x > -28.2743338823081 \wedge x < -25.1327412287183$$
$$x > -21.9911485751286 \wedge x < -18.8495559215388$$
$$x > -15.707963267949 \wedge x < -12.5663706143592$$
$$x > -9.42477796076938 \wedge x < -6.28318530717959$$
$$x > -3.14159265358979 \wedge x < 0$$
$$x > 3.14159265358979 \wedge x < 6.28318530717959$$
$$x > 9.42477796076938 \wedge x < 12.5663706143592$$
$$x > 15.707963267949 \wedge x < 18.8495559215388$$
$$x > 21.9911485751286 \wedge x < 25.1327412287183$$
$$x > 28.2743338823081 \wedge x < 31.4159265358979$$
$$x > 34.5575191894877 \wedge x < 37.6991118430775$$
$$x > 40.8407044966673 \wedge x < 43.9822971502571$$
$$x > 47.1238898038469 \wedge x < 50.2654824574367$$
$$x > 53.4070751110265 \wedge x < 56.5486677646163$$
$$x > 59.6902604182061 \wedge x < 62.8318530717959$$
$$x > 65.9734457253857 \wedge x < 69.1150383789755$$
$$x > 72.2566310325652 \wedge x < 75.398223686155$$
$$x > 78.5398163397448 \wedge x < 81.6814089933346$$
$$x > 84.8230016469244 \wedge x < 87.9645943005142$$
$$x > 91.106186954104 \wedge x < 94.2477796076938$$
$$x > 97.3893722612836 \wedge x < 100.530964914873$$
$$x > 223.053078404875 \wedge x < 42119.3327066784$$
Solución de la desigualdad en el gráfico
Gráfico