展開する ((-cos(x))+cos(x))interval[-pi/4 ,pi]

解

展開する

((- cos (x)) + cos (x)) in t er v a l [- \frac{π}{4}, π]

e [- π \frac{π}{4},] l in t r v a (- cos (x)) + e [- π \frac{π}{4},] l in t r v a cos (x)

解答ステップ

((- cos (x)) + cos (x)) in t er v a l [- \frac{π}{4}, π]

= e [- π \frac{π}{4},] l in t r v a ((- cos (x)) + cos (x))

分配法則を適用する:

a (b + c) = ab + a c

a = in t er v a l [- \frac{π}{4}, π], b = (- cos (x)), c = cos (x)

= in t er v a l [- \frac{π}{4}, π] (- cos (x)) + in t er v a l [- \frac{π}{4}, π] cos (x)

= e [- π \frac{π}{4},] l in t r v a (- cos (x)) + e [- π \frac{π}{4},] l in t r v a cos (x)