展開する cos(7(t-pi/6))U(t-pi/6)

解

展開する

cos (7 (t - \frac{π}{6})) U (t - \frac{π}{6})

t U cos (7 t - \frac{7 π}{6}) - \frac{π U cos ( 7 t - \frac{7 π}{6} )}{6}

解答ステップ

cos (7 (t - \frac{π}{6})) U (t - \frac{π}{6})

= U cos (7 (t - \frac{π}{6})) (t - \frac{π}{6})

分配法則を適用する:

a (b - c) = ab - a c

a = cos (7 (t - \frac{π}{6})) U, b = t, c = \frac{π}{6}

= cos (7 (t - \frac{π}{6})) U t - cos (7 (t - \frac{π}{6})) U \frac{π}{6}

= t U cos (7 (t - \frac{π}{6})) - \frac{π}{6} U cos (7 (t - \frac{π}{6}))

簡素化

t U cos (7 (t - \frac{π}{6})) - \frac{π}{6} U cos (7 (t - \frac{π}{6})) : t U cos (7 t - \frac{7 π}{6}) - \frac{π U cos ( 7 t - \frac{7 π}{6} )}{6}

= t U cos (7 t - \frac{7 π}{6}) - \frac{π U cos ( 7 t - \frac{7 π}{6} )}{6}