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(1/((cos(x))^3+(sin(x))^3))^2+2*((3cos(x)sin(x)((cos(x)-sin(x))))/((cos(x))^3+(sin(x))^3))^2-3((sin(x))^6+(cos(x))^6-2(sin(x))(cos(x))^5+4(sin(x))^2(cos(x))^4-10(sin(x))^3(cos(x))^3+4(sin(x))^4(cos(x))^2-2(sin(x))^5(cos(x)))/((cos(x))^3+(sin(x))^3)^3=0 la ecuación

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Solución

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                   2                                        2     /   6         6                  5           2       4            3       3           4       2           5          \    
/        1        \      /3*cos(x)*sin(x)*(cos(x) - sin(x))\    3*\sin (x) + cos (x) - 2*sin(x)*cos (x) + 4*sin (x)*cos (x) - 10*sin (x)*cos (x) + 4*sin (x)*cos (x) - 2*sin (x)*cos(x)/    
|-----------------|  + 2*|---------------------------------|  - ------------------------------------------------------------------------------------------------------------------------ = 0
|   3         3   |      |           3         3           |                                                                         3                                                      
\cos (x) + sin (x)/      \        cos (x) + sin (x)        /                                                      /   3         3   \                                                       
                                                                                                                  \cos (x) + sin (x)/                                                       
$$\left(2 \left(\frac{\sin{\left(x \right)} 3 \cos{\left(x \right)} \left(- \sin{\left(x \right)} + \cos{\left(x \right)}\right)}{\sin^{3}{\left(x \right)} + \cos^{3}{\left(x \right)}}\right)^{2} + \left(\frac{1}{\sin^{3}{\left(x \right)} + \cos^{3}{\left(x \right)}}\right)^{2}\right) - \frac{3 \left(\left(\left(\left(\left(\left(\sin^{6}{\left(x \right)} + \cos^{6}{\left(x \right)}\right) - 2 \sin{\left(x \right)} \cos^{5}{\left(x \right)}\right) + 4 \sin^{2}{\left(x \right)} \cos^{4}{\left(x \right)}\right) - 10 \sin^{3}{\left(x \right)} \cos^{3}{\left(x \right)}\right) + 4 \sin^{4}{\left(x \right)} \cos^{2}{\left(x \right)}\right) - 2 \sin^{5}{\left(x \right)} \cos{\left(x \right)}\right)}{\left(\sin^{3}{\left(x \right)} + \cos^{3}{\left(x \right)}\right)^{3}} = 0$$
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