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Desigualdades:
(x-2)²>x(x-4)
-(x-2)>6
-x^2-6x-5<=0
(-10)/((x-3)^2-5)>=0
Expresiones idénticas
(uno - seis *(sin(x))^ dos)^ dos < veinticuatro *(sin(x))^ dos
(1 menos 6 multiplicar por ( seno de (x)) al cuadrado ) al cuadrado menos 24 multiplicar por ( seno de (x)) al cuadrado
(uno menos seis multiplicar por ( seno de (x)) en el grado dos) en el grado dos menos veinticuatro multiplicar por ( seno de (x)) en el grado dos
(1-6*(sin(x))2)2<24*(sin(x))2
1-6*sinx22<24*sinx2
(1-6*(sin(x))²)²<24*(sin(x))²
(1-6*(sin(x)) en el grado 2) en el grado 2<24*(sin(x)) en el grado 2
(1-6(sin(x))^2)^2<24(sin(x))^2
(1-6(sin(x))2)2<24(sin(x))2
1-6sinx22<24sinx2
1-6sinx^2^2<24sinx^2
Expresiones semejantes
(1+6*(sin(x))^2)^2<24*(sin(x))^2
(1-6*(sinx)^2)^2<24*(sinx)^2
Expresiones con funciones
Seno sin
sin(x)^2>=0
sin(2*x)≥1/2
sin(x)<1\2
sin(x)>sin^2(x)
sin>(x)1/2
Seno sin
sin(x)^2>=0
sin(2*x)≥1/2
sin(x)<1\2
sin(x)>sin^2(x)
sin>(x)1/2

Resolver desigualdades/ (1-6*(sin(x))^2)^2<24*(sin(x))^2

(1-6(sin(x))^2)^2<24(sin(x))^2 desigualdades

Solución

Ha introducido [src]

               2             
/         2   \          2   
\1 - 6*sin (x)/  < 24*sin (x)

\left(1 - 6 \sin^{2}{\left(x \right)}\right)^{2} < 24 \sin^{2}{\left(x \right)}

(1 - 6*sin(x)^2)^2 < 24*sin(x)^2

Solución de la desigualdad en el gráfico

Respuesta rápida [src]

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   \       \      \   \           2            //                                                                                                                                                                                               /     \      \   \           2            //                                                                                                                                                                                               /    /

x < - i \left(\log{\left(\sqrt{\sqrt{\sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)} + \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}} \right)}}{2} \right)} + \sqrt{\sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)} + \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)} + i \operatorname{atan}{\left(\frac{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}} \right)}}{2} \right)}}{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}\right) \wedge - i \left(\log{\left(\sqrt{\sqrt{\sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)} + \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}} \right)}}{2} \right)} + \sqrt{\sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)} + \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)} + i \operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2}}{7} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}\right) < x

(x < -i*(i*atan(cos(atan(sin(atan(4*sqrt(2)/7)/2)/cos(atan(4*sqrt(2)/7)/2))/2)/sin(atan(sin(atan(4*sqrt(2)/7)/2)/cos(atan(4*sqrt(2)/7)/2))/2)) + log(sqrt(sqrt(cos(atan(4*sqrt(2)/7)/2)^2 + sin(atan(4*sqrt(2)/7)/2)^2)*cos(atan(sin(atan(4*sqrt(2)/7)/2)/cos(atan(4*sqrt(2)/7)/2))/2)^2 + sqrt(cos(atan(4*sqrt(2)/7)/2)^2 + sin(atan(4*sqrt(2)/7)/2)^2)*sin(atan(sin(atan(4*sqrt(2)/7)/2)/cos(atan(4*sqrt(2)/7)/2))/2)^2))))∧(-i*(i*atan(sin(atan(sin(atan(4*sqrt(2)/7)/2)/cos(atan(4*sqrt(2)/7)/2))/2)/cos(atan(sin(atan(4*sqrt(2)/7)/2)/cos(atan(4*sqrt(2)/7)/2))/2)) + log(sqrt(sqrt(cos(atan(4*sqrt(2)/7)/2)^2 + sin(atan(4*sqrt(2)/7)/2)^2)*cos(atan(sin(atan(4*sqrt(2)/7)/2)/cos(atan(4*sqrt(2)/7)/2))/2)^2 + sqrt(cos(atan(4*sqrt(2)/7)/2)^2 + sin(atan(4*sqrt(2)/7)/2)^2)*sin(atan(sin(atan(4*sqrt(2)/7)/2)/cos(atan(4*sqrt(2)/7)/2))/2)^2))) < x)

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Expresiones con funciones

(1-6*(sin(x))^2)^2<24*(sin(x))^2 desigualdades

Solución

(1-6(sin(x))^2)^2<24(sin(x))^2 desigualdades