展開する cos(t)h(t-pi/2)

解

展開する

cos (t) h (t - \frac{π}{2})

t h cos (t) - \frac{πh cos ( t )}{2}

解答ステップ

cos (t) h (t - \frac{π}{2})

= h cos (t) (t - \frac{π}{2})

分配法則を適用する:

a (b - c) = ab - a c

a = cos (t) h, b = t, c = \frac{π}{2}

= cos (t) h t - cos (t) h \frac{π}{2}

= t h cos (t) - \frac{π}{2} h cos (t)

簡素化

t h cos (t) - \frac{π}{2} h cos (t) : t h cos (t) - \frac{πh cos ( t )}{2}

= t h cos (t) - \frac{πh cos ( t )}{2}