Résoudre -sin(sin(3θ))cos(3θ)

$$- \sin ( \sin ( 3 \theta ) ) \cos ( 3 \theta )$$

Évaluer

$$-\cos(3\theta )\sin(\sin(3\theta ))$$

Différencier w.r.t. θ

$$-3\left(\cos(\theta )\right)^{2}\left(\left(\cos(\theta )\right)^{2}-3\left(\sin(\theta )\right)^{2}\right)\left(\left(\left(\cos(\theta )\right)^{2}-2\left(\sin(\theta )\right)^{2}\right)\cos(\left(\sin(\theta )\right)^{3})\left(\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{3}-\left(\left(\cos(\theta )\right)^{2}-2\left(\sin(\theta )\right)^{2}\right)\sin(\left(\sin(\theta )\right)^{3})\left(\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{3}+3\cos(\left(\sin(\theta )\right)^{3})\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\left(\sin(\theta )\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{2}-3\sin(\left(\sin(\theta )\right)^{3})\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\left(\sin(\theta )\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{2}+\left(\sin(\theta )\right)^{2}\sin(\left(\sin(\theta )\right)^{3})\left(\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{3}-\left(\sin(\theta )\right)^{2}\cos(\left(\sin(\theta )\right)^{3})\left(\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{3}+3\left(\left(\cos(\theta )\right)^{2}-2\left(\sin(\theta )\right)^{2}\right)\sin(\left(\sin(\theta )\right)^{3})\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\left(\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{2}-3\left(\left(\cos(\theta )\right)^{2}-2\left(\sin(\theta )\right)^{2}\right)\cos(\left(\sin(\theta )\right)^{3})\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\left(\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{2}\right)+\sin(\theta )\left(\left(\cos(\theta )\right)^{2}-3\left(\sin(\theta )\right)^{2}\right)\left(-\sin(\left(\sin(\theta )\right)^{3})\left(\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{3}-\cos(\left(\sin(\theta )\right)^{3})\left(\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{3}+3\sin(\left(\sin(\theta )\right)^{3})\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\left(\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{2}+3\cos(\left(\sin(\theta )\right)^{3})\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\left(\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{2}\right)+8\sin(\theta )\left(\cos(\theta )\right)^{2}\left(-\sin(\left(\sin(\theta )\right)^{3})\left(\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{3}-\cos(\left(\sin(\theta )\right)^{3})\left(\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{3}+3\sin(\left(\sin(\theta )\right)^{3})\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\left(\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{2}+3\cos(\left(\sin(\theta )\right)^{3})\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\left(\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{2}\right)$$