cos4x>sin4x desigualdades

  /   /               /      /   /pi\\                                 \\     /            /      /    /pi\      /pi\ \                                 \    \\
  |   |               |      |sin|--||      /    _____________________\||     |            |      | cos|--| + sin|--| |      /    _____________________\|    ||
  |   |               |      |   \16/|      |   /    2/pi\      2/pi\ |||     |     pi     |      |    \16/      \16/ |      |   /    2/pi\      2/pi\ ||    ||
Or|And|0 <= x, x < -I*|I*atan|-------| + log|  /  cos |--| + sin |--| |||, And|x <= --, -I*|I*atan|-------------------| + log|  /  cos |--| + sin |--| || < x||
  |   |               |      |   /pi\|      \\/       \16/       \16/ /||     |     2      |      |     /pi\      /pi\|      \\/       \16/       \16/ /|    ||
  |   |               |      |cos|--||                                 ||     |            |      |- sin|--| + cos|--||                                 |    ||
  \   \               \      \   \16//                                 //     \            \      \     \16/      \16//                                 /    //

$$\left(0 \leq x \wedge x < - i \left(\log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{16} \right)} + \cos^{2}{\left(\frac{\pi}{16} \right)}} \right)} + i \operatorname{atan}{\left(\frac{\sin{\left(\frac{\pi}{16} \right)}}{\cos{\left(\frac{\pi}{16} \right)}} \right)}\right)\right) \vee \left(x \leq \frac{\pi}{2} \wedge - i \left(\log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{16} \right)} + \cos^{2}{\left(\frac{\pi}{16} \right)}} \right)} + i \operatorname{atan}{\left(\frac{\sin{\left(\frac{\pi}{16} \right)} + \cos{\left(\frac{\pi}{16} \right)}}{- \sin{\left(\frac{\pi}{16} \right)} + \cos{\left(\frac{\pi}{16} \right)}} \right)}\right) < x\right)$$

((0 <= x)∧(x < -i*(i*atan(sin(pi/16)/cos(pi/16)) + log(sqrt(cos(pi/16)^2 + sin(pi/16)^2)))))∨((x <= pi/2)∧(-i*(i*atan((cos(pi/16) + sin(pi/16))/(-sin(pi/16) + cos(pi/16))) + log(sqrt(cos(pi/16)^2 + sin(pi/16)^2))) < x))