簡約 (cos(x))/(sin(x))-(sin(x))/(cos(x))

解

簡約

\frac{cos ( x )}{sin ( x )} - \frac{sin ( x )}{cos ( x )}

2 cot (2 x)

解答ステップ

\frac{cos ( x )}{sin ( x )} - \frac{sin ( x )}{cos ( x )}

結合

\frac{cos ( x )}{sin ( x )} - \frac{sin ( x )}{cos ( x )} : \frac{cos ( 2 x )}{sin ( x ) cos ( x )}

= \frac{cos ( 2 x )}{sin ( x ) cos ( x )}

三角関数の公式を使用して書き換える

= 2 cot (2 x)