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  • -2x+5<=-3x-3 -2x+5<=-3x-3
  • 5x^2-8x+3>0 5x^2-8x+3>0
  • x^2+1>0 x^2+1>0
  • -x>-11 -x>-11
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  • (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
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  • (1+6*(sin(x))^2)^2<24*(sin(x))^2
  • (1-6*(sinx)^2)^2<24*(sinx)^2
  • Expresiones con funciones

  • Seno sin
  • sin(2x)<-0,5
  • sin2x<-0,5
  • sin(2*x)>0
  • sin(2x)>0.5
  • sin2x<=0
  • Seno sin
  • sin(2x)<-0,5
  • sin2x<-0,5
  • sin(2*x)>0
  • sin(2x)>0.5
  • sin2x<=0

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

En la desigualdad la incógnita

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      //||                                                                                                                                                                                               |    |
   |       |      |sin|------------------------||                                                                                                                                                                                               |     |      |cos|------------------------||                                                                                                                                                                                               |    |
   \       \      \   \           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)