展開する sin^{2tan(x)}(x)(sec^2(x)ln(sin^2(x))+2)

解

展開する

sin^{2 t a n (x)} (x) (sec^{2} (x) ln (sin^{2} (x)) + 2)

sin^{2 t a n (x)} (x) sec^{2} (x) ln (sin^{2} (x)) + 2 sin^{2 t a n (x)} (x)

解答ステップ

sin^{2 t a n (x)} (x) (sec^{2} (x) ln (sin^{2} (x)) + 2)

分配法則を適用する:

a (b + c) = ab + a c

a = sin^{2 t a n (x)} (x), b = sec^{2} (x) ln (sin^{2} (x)), c = 2

= sin^{2 t a n (x)} (x) sec^{2} (x) ln (sin^{2} (x)) + sin^{2 t a n (x)} (x) \cdot 2

= sin^{2 t a n (x)} (x) sec^{2} (x) ln (sin^{2} (x)) + 2 sin^{2 t a n (x)} (x)