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:
-
4+12x>7+13x
-
x-4x^2/x-1>0
-
x^2-17x+72>0
-
(x-9)*(x-1)>0
-
Expresiones idénticas
- |cos(x)+ dos , cinco |>= tres
- módulo de coseno de (x) más 2,5| más o igual a 3
- módulo de coseno de (x) más dos , cinco | más o igual a tres
- |cosx+2,5|>=3
-
Expresiones semejantes
- |cos(x)-2,5|>=3
- |cosx+2,5|>=3
-
Expresiones con funciones
- Coseno cos
- cos(x)<-0,5
- cos(x)+sin(x)<0
- cos2x<√2/2
- cos(x)>x^2+1
- cos^2(x)>3/4
- Módulo |
- |2-x|-|6+2x|<3
- |x^3-3x+1|<=x^3+x^2-1
- |x+2|-|x-3|>=2x-1
- |x^3+2x^2-2|>=2+3x
- |x-3|<1
|cos(x)+2,5|>=3 desigualdades
Solución
Ha introducido
[src]
|cos(x) + 5/2| >= 3
$$\left|{\cos{\left(x \right)} + \frac{5}{2}}\right| \geq 3$$
Abs(cos(x) + 5/2) >= 3
Solución detallada
Se da la desigualdad:
$$\left|{\cos{\left(x \right)} + \frac{5}{2}}\right| \geq 3$$
Para resolver esta desigualdad primero hay que resolver la ecuación correspondiente:
$$\left|{\cos{\left(x \right)} + \frac{5}{2}}\right| = 3$$
Resolvemos:
$$x_{1} = 24.0855436775217$$
$$x_{2} = 57.5958653158129$$
$$x_{3} = 13.6135681655558$$
$$x_{4} = 5.23598775598299$$
$$x_{5} = -7.33038285837618$$
$$x_{6} = -74.3510261349584$$
$$x_{7} = 74.3510261349584$$
$$x_{8} = -38.7463093942741$$
$$x_{9} = 99.4837673636768$$
$$x_{10} = -82.7286065445312$$
$$x_{11} = -80.634211442138$$
$$x_{12} = -70.162235930172$$
$$x_{13} = 93.2005820564972$$
$$x_{14} = -13.6135681655558$$
$$x_{15} = 49.2182849062401$$
$$x_{16} = -19.8967534727354$$
$$x_{17} = 42.9350995990605$$
$$x_{18} = -32.4631240870945$$
$$x_{19} = -1.0471975511966$$
$$x_{20} = -45.0294947014537$$
$$x_{21} = 55.5014702134197$$
$$x_{22} = -68.0678408277789$$
$$x_{23} = 30.3687289847013$$
$$x_{24} = -11.5191730631626$$
$$x_{25} = -61.7846555205993$$
$$x_{26} = -99.4837673636768$$
$$x_{27} = -93.2005820564972$$
$$x_{28} = -17.8023583703422$$
$$x_{29} = -36.6519142918809$$
$$x_{30} = -24.0855436775217$$
$$x_{31} = 38.7463093942741$$
$$x_{32} = -225.147473507269$$
$$x_{33} = 82.7286065445312$$
$$x_{34} = -89.0117918517108$$
$$x_{35} = 32.4631240870945$$
$$x_{36} = 61.7846555205993$$
$$x_{37} = 1647.24174803225$$
$$x_{38} = 1.0471975511966$$
$$x_{39} = -55.5014702134197$$
$$x_{40} = -57.5958653158129$$
$$x_{41} = -42.9350995990605$$
$$x_{42} = -63.8790506229925$$
$$x_{43} = 11.5191730631626$$
$$x_{44} = -5.23598775598299$$
$$x_{45} = 68.0678408277789$$
$$x_{46} = -49.2182849062401$$
$$x_{47} = 26.1799387799149$$
$$x_{48} = 63.8790506229925$$
$$x_{49} = -86.9173967493176$$
$$x_{50} = 45.0294947014537$$
$$x_{51} = -95.2949771588904$$
$$x_{52} = 51.3126800086333$$
$$x_{53} = 17.8023583703422$$
$$x_{54} = 76.4454212373516$$
$$x_{55} = 80.634211442138$$
$$x_{56} = 89.0117918517108$$
$$x_{57} = -359.188760060433$$
$$x_{58} = 19.8967534727354$$
$$x_{59} = 95.2949771588904$$
$$x_{60} = -51.3126800086333$$
$$x_{61} = 86.9173967493176$$
$$x_{62} = -76.4454212373516$$
$$x_{63} = -26.1799387799149$$
$$x_{64} = 70.162235930172$$
$$x_{65} = 7.33038285837618$$
$$x_{66} = -30.3687289847013$$
$$x_{67} = 36.6519142918809$$
$$x_{1} = 24.0855436775217$$
$$x_{2} = 57.5958653158129$$
$$x_{3} = 13.6135681655558$$
$$x_{4} = 5.23598775598299$$
$$x_{5} = -7.33038285837618$$
$$x_{6} = -74.3510261349584$$
$$x_{7} = 74.3510261349584$$
$$x_{8} = -38.7463093942741$$
$$x_{9} = 99.4837673636768$$
$$x_{10} = -82.7286065445312$$
$$x_{11} = -80.634211442138$$
$$x_{12} = -70.162235930172$$
$$x_{13} = 93.2005820564972$$
$$x_{14} = -13.6135681655558$$
$$x_{15} = 49.2182849062401$$
$$x_{16} = -19.8967534727354$$
$$x_{17} = 42.9350995990605$$
$$x_{18} = -32.4631240870945$$
$$x_{19} = -1.0471975511966$$
$$x_{20} = -45.0294947014537$$
$$x_{21} = 55.5014702134197$$
$$x_{22} = -68.0678408277789$$
$$x_{23} = 30.3687289847013$$
$$x_{24} = -11.5191730631626$$
$$x_{25} = -61.7846555205993$$
$$x_{26} = -99.4837673636768$$
$$x_{27} = -93.2005820564972$$
$$x_{28} = -17.8023583703422$$
$$x_{29} = -36.6519142918809$$
$$x_{30} = -24.0855436775217$$
$$x_{31} = 38.7463093942741$$
$$x_{32} = -225.147473507269$$
$$x_{33} = 82.7286065445312$$
$$x_{34} = -89.0117918517108$$
$$x_{35} = 32.4631240870945$$
$$x_{36} = 61.7846555205993$$
$$x_{37} = 1647.24174803225$$
$$x_{38} = 1.0471975511966$$
$$x_{39} = -55.5014702134197$$
$$x_{40} = -57.5958653158129$$
$$x_{41} = -42.9350995990605$$
$$x_{42} = -63.8790506229925$$
$$x_{43} = 11.5191730631626$$
$$x_{44} = -5.23598775598299$$
$$x_{45} = 68.0678408277789$$
$$x_{46} = -49.2182849062401$$
$$x_{47} = 26.1799387799149$$
$$x_{48} = 63.8790506229925$$
$$x_{49} = -86.9173967493176$$
$$x_{50} = 45.0294947014537$$
$$x_{51} = -95.2949771588904$$
$$x_{52} = 51.3126800086333$$
$$x_{53} = 17.8023583703422$$
$$x_{54} = 76.4454212373516$$
$$x_{55} = 80.634211442138$$
$$x_{56} = 89.0117918517108$$
$$x_{57} = -359.188760060433$$
$$x_{58} = 19.8967534727354$$
$$x_{59} = 95.2949771588904$$
$$x_{60} = -51.3126800086333$$
$$x_{61} = 86.9173967493176$$
$$x_{62} = -76.4454212373516$$
$$x_{63} = -26.1799387799149$$
$$x_{64} = 70.162235930172$$
$$x_{65} = 7.33038285837618$$
$$x_{66} = -30.3687289847013$$
$$x_{67} = 36.6519142918809$$
Las raíces dadas
$$x_{57} = -359.188760060433$$
$$x_{32} = -225.147473507269$$
$$x_{26} = -99.4837673636768$$
$$x_{51} = -95.2949771588904$$
$$x_{27} = -93.2005820564972$$
$$x_{34} = -89.0117918517108$$
$$x_{49} = -86.9173967493176$$
$$x_{10} = -82.7286065445312$$
$$x_{11} = -80.634211442138$$
$$x_{62} = -76.4454212373516$$
$$x_{6} = -74.3510261349584$$
$$x_{12} = -70.162235930172$$
$$x_{22} = -68.0678408277789$$
$$x_{42} = -63.8790506229925$$
$$x_{25} = -61.7846555205993$$
$$x_{40} = -57.5958653158129$$
$$x_{39} = -55.5014702134197$$
$$x_{60} = -51.3126800086333$$
$$x_{46} = -49.2182849062401$$
$$x_{20} = -45.0294947014537$$
$$x_{41} = -42.9350995990605$$
$$x_{8} = -38.7463093942741$$
$$x_{29} = -36.6519142918809$$
$$x_{18} = -32.4631240870945$$
$$x_{66} = -30.3687289847013$$
$$x_{63} = -26.1799387799149$$
$$x_{30} = -24.0855436775217$$
$$x_{16} = -19.8967534727354$$
$$x_{28} = -17.8023583703422$$
$$x_{14} = -13.6135681655558$$
$$x_{24} = -11.5191730631626$$
$$x_{5} = -7.33038285837618$$
$$x_{44} = -5.23598775598299$$
$$x_{19} = -1.0471975511966$$
$$x_{38} = 1.0471975511966$$
$$x_{4} = 5.23598775598299$$
$$x_{65} = 7.33038285837618$$
$$x_{43} = 11.5191730631626$$
$$x_{3} = 13.6135681655558$$
$$x_{53} = 17.8023583703422$$
$$x_{58} = 19.8967534727354$$
$$x_{1} = 24.0855436775217$$
$$x_{47} = 26.1799387799149$$
$$x_{23} = 30.3687289847013$$
$$x_{35} = 32.4631240870945$$
$$x_{67} = 36.6519142918809$$
$$x_{31} = 38.7463093942741$$
$$x_{17} = 42.9350995990605$$
$$x_{50} = 45.0294947014537$$
$$x_{15} = 49.2182849062401$$
$$x_{52} = 51.3126800086333$$
$$x_{21} = 55.5014702134197$$
$$x_{2} = 57.5958653158129$$
$$x_{36} = 61.7846555205993$$
$$x_{48} = 63.8790506229925$$
$$x_{45} = 68.0678408277789$$
$$x_{64} = 70.162235930172$$
$$x_{7} = 74.3510261349584$$
$$x_{54} = 76.4454212373516$$
$$x_{55} = 80.634211442138$$
$$x_{33} = 82.7286065445312$$
$$x_{61} = 86.9173967493176$$
$$x_{56} = 89.0117918517108$$
$$x_{13} = 93.2005820564972$$
$$x_{59} = 95.2949771588904$$
$$x_{9} = 99.4837673636768$$
$$x_{37} = 1647.24174803225$$
son puntos de cambio del signo de desigualdad en las soluciones.
Primero definámonos con el signo hasta el punto extremo izquierdo:
$$x_{0} \leq x_{57}$$
Consideremos, por ejemplo, el punto
$$x_{0} = x_{57} - \frac{1}{10}$$
=
$$-359.188760060433 + - \frac{1}{10}$$
=
$$-359.288760060433$$
lo sustituimos en la expresión
$$\left|{\cos{\left(x \right)} + \frac{5}{2}}\right| \geq 3$$
$$\left|{\cos{\left(-359.288760060433 \right)} + \frac{5}{2}}\right| \geq 3$$
pero
Entonces
$$x \leq -359.188760060433$$
no se cumple
significa que una de las soluciones de nuestra ecuación será con:
$$x \geq -359.188760060433 \wedge x \leq -225.147473507269$$
Recibiremos otras soluciones de la desigualdad pasando al polo siguiente etc.
etc.
Respuesta:
$$x \geq -359.188760060433 \wedge x \leq -225.147473507269$$
$$x \geq -99.4837673636768 \wedge x \leq -95.2949771588904$$
$$x \geq -93.2005820564972 \wedge x \leq -89.0117918517108$$
$$x \geq -86.9173967493176 \wedge x \leq -82.7286065445312$$
$$x \geq -80.634211442138 \wedge x \leq -76.4454212373516$$
$$x \geq -74.3510261349584 \wedge x \leq -70.162235930172$$
$$x \geq -68.0678408277789 \wedge x \leq -63.8790506229925$$
$$x \geq -61.7846555205993 \wedge x \leq -57.5958653158129$$
$$x \geq -55.5014702134197 \wedge x \leq -51.3126800086333$$
$$x \geq -49.2182849062401 \wedge x \leq -45.0294947014537$$
$$x \geq -42.9350995990605 \wedge x \leq -38.7463093942741$$
$$x \geq -36.6519142918809 \wedge x \leq -32.4631240870945$$
$$x \geq -30.3687289847013 \wedge x \leq -26.1799387799149$$
$$x \geq -24.0855436775217 \wedge x \leq -19.8967534727354$$
$$x \geq -17.8023583703422 \wedge x \leq -13.6135681655558$$
$$x \geq -11.5191730631626 \wedge x \leq -7.33038285837618$$
$$x \geq -5.23598775598299 \wedge x \leq -1.0471975511966$$
$$x \geq 1.0471975511966 \wedge x \leq 5.23598775598299$$
$$x \geq 7.33038285837618 \wedge x \leq 11.5191730631626$$
$$x \geq 13.6135681655558 \wedge x \leq 17.8023583703422$$
$$x \geq 19.8967534727354 \wedge x \leq 24.0855436775217$$
$$x \geq 26.1799387799149 \wedge x \leq 30.3687289847013$$
$$x \geq 32.4631240870945 \wedge x \leq 36.6519142918809$$
$$x \geq 38.7463093942741 \wedge x \leq 42.9350995990605$$
$$x \geq 45.0294947014537 \wedge x \leq 49.2182849062401$$
$$x \geq 51.3126800086333 \wedge x \leq 55.5014702134197$$
$$x \geq 57.5958653158129 \wedge x \leq 61.7846555205993$$
$$x \geq 63.8790506229925 \wedge x \leq 68.0678408277789$$
$$x \geq 70.162235930172 \wedge x \leq 74.3510261349584$$
$$x \geq 76.4454212373516 \wedge x \leq 80.634211442138$$
$$x \geq 82.7286065445312 \wedge x \leq 86.9173967493176$$
$$x \geq 89.0117918517108 \wedge x \leq 93.2005820564972$$
$$x \geq 95.2949771588904 \wedge x \leq 99.4837673636768$$
$$x \geq 1647.24174803225$$
$$\left|{\cos{\left(x \right)} + \frac{5}{2}}\right| \geq 3$$
Para resolver esta desigualdad primero hay que resolver la ecuación correspondiente:
$$\left|{\cos{\left(x \right)} + \frac{5}{2}}\right| = 3$$
Resolvemos:
$$x_{1} = 24.0855436775217$$
$$x_{2} = 57.5958653158129$$
$$x_{3} = 13.6135681655558$$
$$x_{4} = 5.23598775598299$$
$$x_{5} = -7.33038285837618$$
$$x_{6} = -74.3510261349584$$
$$x_{7} = 74.3510261349584$$
$$x_{8} = -38.7463093942741$$
$$x_{9} = 99.4837673636768$$
$$x_{10} = -82.7286065445312$$
$$x_{11} = -80.634211442138$$
$$x_{12} = -70.162235930172$$
$$x_{13} = 93.2005820564972$$
$$x_{14} = -13.6135681655558$$
$$x_{15} = 49.2182849062401$$
$$x_{16} = -19.8967534727354$$
$$x_{17} = 42.9350995990605$$
$$x_{18} = -32.4631240870945$$
$$x_{19} = -1.0471975511966$$
$$x_{20} = -45.0294947014537$$
$$x_{21} = 55.5014702134197$$
$$x_{22} = -68.0678408277789$$
$$x_{23} = 30.3687289847013$$
$$x_{24} = -11.5191730631626$$
$$x_{25} = -61.7846555205993$$
$$x_{26} = -99.4837673636768$$
$$x_{27} = -93.2005820564972$$
$$x_{28} = -17.8023583703422$$
$$x_{29} = -36.6519142918809$$
$$x_{30} = -24.0855436775217$$
$$x_{31} = 38.7463093942741$$
$$x_{32} = -225.147473507269$$
$$x_{33} = 82.7286065445312$$
$$x_{34} = -89.0117918517108$$
$$x_{35} = 32.4631240870945$$
$$x_{36} = 61.7846555205993$$
$$x_{37} = 1647.24174803225$$
$$x_{38} = 1.0471975511966$$
$$x_{39} = -55.5014702134197$$
$$x_{40} = -57.5958653158129$$
$$x_{41} = -42.9350995990605$$
$$x_{42} = -63.8790506229925$$
$$x_{43} = 11.5191730631626$$
$$x_{44} = -5.23598775598299$$
$$x_{45} = 68.0678408277789$$
$$x_{46} = -49.2182849062401$$
$$x_{47} = 26.1799387799149$$
$$x_{48} = 63.8790506229925$$
$$x_{49} = -86.9173967493176$$
$$x_{50} = 45.0294947014537$$
$$x_{51} = -95.2949771588904$$
$$x_{52} = 51.3126800086333$$
$$x_{53} = 17.8023583703422$$
$$x_{54} = 76.4454212373516$$
$$x_{55} = 80.634211442138$$
$$x_{56} = 89.0117918517108$$
$$x_{57} = -359.188760060433$$
$$x_{58} = 19.8967534727354$$
$$x_{59} = 95.2949771588904$$
$$x_{60} = -51.3126800086333$$
$$x_{61} = 86.9173967493176$$
$$x_{62} = -76.4454212373516$$
$$x_{63} = -26.1799387799149$$
$$x_{64} = 70.162235930172$$
$$x_{65} = 7.33038285837618$$
$$x_{66} = -30.3687289847013$$
$$x_{67} = 36.6519142918809$$
$$x_{1} = 24.0855436775217$$
$$x_{2} = 57.5958653158129$$
$$x_{3} = 13.6135681655558$$
$$x_{4} = 5.23598775598299$$
$$x_{5} = -7.33038285837618$$
$$x_{6} = -74.3510261349584$$
$$x_{7} = 74.3510261349584$$
$$x_{8} = -38.7463093942741$$
$$x_{9} = 99.4837673636768$$
$$x_{10} = -82.7286065445312$$
$$x_{11} = -80.634211442138$$
$$x_{12} = -70.162235930172$$
$$x_{13} = 93.2005820564972$$
$$x_{14} = -13.6135681655558$$
$$x_{15} = 49.2182849062401$$
$$x_{16} = -19.8967534727354$$
$$x_{17} = 42.9350995990605$$
$$x_{18} = -32.4631240870945$$
$$x_{19} = -1.0471975511966$$
$$x_{20} = -45.0294947014537$$
$$x_{21} = 55.5014702134197$$
$$x_{22} = -68.0678408277789$$
$$x_{23} = 30.3687289847013$$
$$x_{24} = -11.5191730631626$$
$$x_{25} = -61.7846555205993$$
$$x_{26} = -99.4837673636768$$
$$x_{27} = -93.2005820564972$$
$$x_{28} = -17.8023583703422$$
$$x_{29} = -36.6519142918809$$
$$x_{30} = -24.0855436775217$$
$$x_{31} = 38.7463093942741$$
$$x_{32} = -225.147473507269$$
$$x_{33} = 82.7286065445312$$
$$x_{34} = -89.0117918517108$$
$$x_{35} = 32.4631240870945$$
$$x_{36} = 61.7846555205993$$
$$x_{37} = 1647.24174803225$$
$$x_{38} = 1.0471975511966$$
$$x_{39} = -55.5014702134197$$
$$x_{40} = -57.5958653158129$$
$$x_{41} = -42.9350995990605$$
$$x_{42} = -63.8790506229925$$
$$x_{43} = 11.5191730631626$$
$$x_{44} = -5.23598775598299$$
$$x_{45} = 68.0678408277789$$
$$x_{46} = -49.2182849062401$$
$$x_{47} = 26.1799387799149$$
$$x_{48} = 63.8790506229925$$
$$x_{49} = -86.9173967493176$$
$$x_{50} = 45.0294947014537$$
$$x_{51} = -95.2949771588904$$
$$x_{52} = 51.3126800086333$$
$$x_{53} = 17.8023583703422$$
$$x_{54} = 76.4454212373516$$
$$x_{55} = 80.634211442138$$
$$x_{56} = 89.0117918517108$$
$$x_{57} = -359.188760060433$$
$$x_{58} = 19.8967534727354$$
$$x_{59} = 95.2949771588904$$
$$x_{60} = -51.3126800086333$$
$$x_{61} = 86.9173967493176$$
$$x_{62} = -76.4454212373516$$
$$x_{63} = -26.1799387799149$$
$$x_{64} = 70.162235930172$$
$$x_{65} = 7.33038285837618$$
$$x_{66} = -30.3687289847013$$
$$x_{67} = 36.6519142918809$$
Las raíces dadas
$$x_{57} = -359.188760060433$$
$$x_{32} = -225.147473507269$$
$$x_{26} = -99.4837673636768$$
$$x_{51} = -95.2949771588904$$
$$x_{27} = -93.2005820564972$$
$$x_{34} = -89.0117918517108$$
$$x_{49} = -86.9173967493176$$
$$x_{10} = -82.7286065445312$$
$$x_{11} = -80.634211442138$$
$$x_{62} = -76.4454212373516$$
$$x_{6} = -74.3510261349584$$
$$x_{12} = -70.162235930172$$
$$x_{22} = -68.0678408277789$$
$$x_{42} = -63.8790506229925$$
$$x_{25} = -61.7846555205993$$
$$x_{40} = -57.5958653158129$$
$$x_{39} = -55.5014702134197$$
$$x_{60} = -51.3126800086333$$
$$x_{46} = -49.2182849062401$$
$$x_{20} = -45.0294947014537$$
$$x_{41} = -42.9350995990605$$
$$x_{8} = -38.7463093942741$$
$$x_{29} = -36.6519142918809$$
$$x_{18} = -32.4631240870945$$
$$x_{66} = -30.3687289847013$$
$$x_{63} = -26.1799387799149$$
$$x_{30} = -24.0855436775217$$
$$x_{16} = -19.8967534727354$$
$$x_{28} = -17.8023583703422$$
$$x_{14} = -13.6135681655558$$
$$x_{24} = -11.5191730631626$$
$$x_{5} = -7.33038285837618$$
$$x_{44} = -5.23598775598299$$
$$x_{19} = -1.0471975511966$$
$$x_{38} = 1.0471975511966$$
$$x_{4} = 5.23598775598299$$
$$x_{65} = 7.33038285837618$$
$$x_{43} = 11.5191730631626$$
$$x_{3} = 13.6135681655558$$
$$x_{53} = 17.8023583703422$$
$$x_{58} = 19.8967534727354$$
$$x_{1} = 24.0855436775217$$
$$x_{47} = 26.1799387799149$$
$$x_{23} = 30.3687289847013$$
$$x_{35} = 32.4631240870945$$
$$x_{67} = 36.6519142918809$$
$$x_{31} = 38.7463093942741$$
$$x_{17} = 42.9350995990605$$
$$x_{50} = 45.0294947014537$$
$$x_{15} = 49.2182849062401$$
$$x_{52} = 51.3126800086333$$
$$x_{21} = 55.5014702134197$$
$$x_{2} = 57.5958653158129$$
$$x_{36} = 61.7846555205993$$
$$x_{48} = 63.8790506229925$$
$$x_{45} = 68.0678408277789$$
$$x_{64} = 70.162235930172$$
$$x_{7} = 74.3510261349584$$
$$x_{54} = 76.4454212373516$$
$$x_{55} = 80.634211442138$$
$$x_{33} = 82.7286065445312$$
$$x_{61} = 86.9173967493176$$
$$x_{56} = 89.0117918517108$$
$$x_{13} = 93.2005820564972$$
$$x_{59} = 95.2949771588904$$
$$x_{9} = 99.4837673636768$$
$$x_{37} = 1647.24174803225$$
son puntos de cambio del signo de desigualdad en las soluciones.
Primero definámonos con el signo hasta el punto extremo izquierdo:
$$x_{0} \leq x_{57}$$
Consideremos, por ejemplo, el punto
$$x_{0} = x_{57} - \frac{1}{10}$$
=
$$-359.188760060433 + - \frac{1}{10}$$
=
$$-359.288760060433$$
lo sustituimos en la expresión
$$\left|{\cos{\left(x \right)} + \frac{5}{2}}\right| \geq 3$$
$$\left|{\cos{\left(-359.288760060433 \right)} + \frac{5}{2}}\right| \geq 3$$
2.91104380767624 >= 3
pero
2.91104380767624 < 3
Entonces
$$x \leq -359.188760060433$$
no se cumple
significa que una de las soluciones de nuestra ecuación será con:
$$x \geq -359.188760060433 \wedge x \leq -225.147473507269$$
_____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____
/ \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------
x57 x32 x26 x51 x27 x34 x49 x10 x11 x62 x6 x12 x22 x42 x25 x40 x39 x60 x46 x20 x41 x8 x29 x18 x66 x63 x30 x16 x28 x14 x24 x5 x44 x19 x38 x4 x65 x43 x3 x53 x58 x1 x47 x23 x35 x67 x31 x17 x50 x15 x52 x21 x2 x36 x48 x45 x64 x7 x54 x55 x33 x61 x56 x13 x59 x9 x37Recibiremos otras soluciones de la desigualdad pasando al polo siguiente etc.
etc.
Respuesta:
$$x \geq -359.188760060433 \wedge x \leq -225.147473507269$$
$$x \geq -99.4837673636768 \wedge x \leq -95.2949771588904$$
$$x \geq -93.2005820564972 \wedge x \leq -89.0117918517108$$
$$x \geq -86.9173967493176 \wedge x \leq -82.7286065445312$$
$$x \geq -80.634211442138 \wedge x \leq -76.4454212373516$$
$$x \geq -74.3510261349584 \wedge x \leq -70.162235930172$$
$$x \geq -68.0678408277789 \wedge x \leq -63.8790506229925$$
$$x \geq -61.7846555205993 \wedge x \leq -57.5958653158129$$
$$x \geq -55.5014702134197 \wedge x \leq -51.3126800086333$$
$$x \geq -49.2182849062401 \wedge x \leq -45.0294947014537$$
$$x \geq -42.9350995990605 \wedge x \leq -38.7463093942741$$
$$x \geq -36.6519142918809 \wedge x \leq -32.4631240870945$$
$$x \geq -30.3687289847013 \wedge x \leq -26.1799387799149$$
$$x \geq -24.0855436775217 \wedge x \leq -19.8967534727354$$
$$x \geq -17.8023583703422 \wedge x \leq -13.6135681655558$$
$$x \geq -11.5191730631626 \wedge x \leq -7.33038285837618$$
$$x \geq -5.23598775598299 \wedge x \leq -1.0471975511966$$
$$x \geq 1.0471975511966 \wedge x \leq 5.23598775598299$$
$$x \geq 7.33038285837618 \wedge x \leq 11.5191730631626$$
$$x \geq 13.6135681655558 \wedge x \leq 17.8023583703422$$
$$x \geq 19.8967534727354 \wedge x \leq 24.0855436775217$$
$$x \geq 26.1799387799149 \wedge x \leq 30.3687289847013$$
$$x \geq 32.4631240870945 \wedge x \leq 36.6519142918809$$
$$x \geq 38.7463093942741 \wedge x \leq 42.9350995990605$$
$$x \geq 45.0294947014537 \wedge x \leq 49.2182849062401$$
$$x \geq 51.3126800086333 \wedge x \leq 55.5014702134197$$
$$x \geq 57.5958653158129 \wedge x \leq 61.7846555205993$$
$$x \geq 63.8790506229925 \wedge x \leq 68.0678408277789$$
$$x \geq 70.162235930172 \wedge x \leq 74.3510261349584$$
$$x \geq 76.4454212373516 \wedge x \leq 80.634211442138$$
$$x \geq 82.7286065445312 \wedge x \leq 86.9173967493176$$
$$x \geq 89.0117918517108 \wedge x \leq 93.2005820564972$$
$$x \geq 95.2949771588904 \wedge x \leq 99.4837673636768$$
$$x \geq 1647.24174803225$$
Solución de la desigualdad en el gráfico