{l}{4cos(asinθ)+3cos(2asinθ)+2cos(3asinθ)}{+cos(4asinθ)} を解きます| Microsoft 数学ソルバー

$$\left. \begin{array} { l } { 4 \cos ( a \sin \theta ) + 3 \cos ( 2 a \sin \theta ) + 2 \cos ( 3 a \sin \theta ) } \\ { + \cos ( 4 a \sin \theta ) } \end{array} \right.$$

計算

$$-6\cos(a\sin(\theta ))\left(\sin(a\sin(\theta ))\right)^{2}+2\left(\cos(a\sin(\theta ))\right)^{3}+4\cos(a\sin(\theta ))+\cos(4a\sin(\theta ))+3\cos(2a\sin(\theta ))$$

a で微分する

$$2\sin(\theta )\sin(a\sin(\theta ))\left(8\cos(a\sin(\theta ))\left(\sin(a\sin(\theta ))\right)^{2}-8\left(\cos(a\sin(\theta ))\right)^{3}+3\left(\sin(a\sin(\theta ))\right)^{2}-9\left(\cos(a\sin(\theta ))\right)^{2}-6\cos(a\sin(\theta ))-2\right)$$