展開する cos^4(x)(1-tan^4(x))+2sin^2(x)

解

展開する

cos^{4} (x) (1 - tan^{4} (x)) + 2 sin^{2} (x)

cos^{4} (x) - cos^{4} (x) tan^{4} (x) + 2 sin^{2} (x)

解答ステップ

cos^{4} (x) (1 - tan^{4} (x)) + 2 sin^{2} (x)

分配法則を適用する:

a (b - c) = ab - a c

cos^{4} (x) (1 - tan^{4} (x)) = cos^{4} (x) \cdot 1 - cos^{4} (x) tan^{4} (x)

= cos^{4} (x) \cdot 1 - cos^{4} (x) tan^{4} (x) + 2 sin^{2} (x)

規則を適用する:

a \cdot 1 = a

cos^{4} (x) \cdot 1 = cos^{4} (x)

= cos^{4} (x) - cos^{4} (x) tan^{4} (x) + 2 sin^{2} (x)