展開する (1-cos(7x))/((sin(5x))^2)

解

展開する

\frac{1 - cos ( 7 x )}{( sin ( 5 x ) ) ^{2}}

\frac{1}{sin ^{2} ( 5 x )} - \frac{cos ( 7 x )}{sin ^{2} ( 5 x )}

解答ステップ

\frac{1 - cos ( 7 x )}{sin ^{2} ( 5 x )}

分数の規則を適用する:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{1 - cos ( 7 x )}{sin ^{2} ( 5 x )} = \frac{1}{sin ^{2} ( 5 x )} - \frac{cos ( 7 x )}{sin ^{2} ( 5 x )}

= \frac{1}{sin ^{2} ( 5 x )} - \frac{cos ( 7 x )}{sin ^{2} ( 5 x )}