展開する ((tan(x)+sin(x))cos(x))/(csc(x)+cot(x))

解

展開する

\frac{( tan ( x ) + sin ( x ) ) cos ( x )}{csc ( x ) + cot ( x )}

\frac{cos ( x ) sin ( x ) + sin ( x )}{cot ( x ) + csc ( x )}

解答ステップ

\frac{( tan ( x ) + sin ( x ) ) cos ( x )}{csc ( x ) + cot ( x )}

拡張

(tan (x) + sin (x)) cos (x) : cos (x) tan (x) + cos (x) sin (x)

= \frac{cos ( x ) tan ( x ) + cos ( x ) sin ( x )}{csc ( x ) + cot ( x )}

cos (x) tan (x) = sin (x)

= \frac{cos ( x ) sin ( x ) + sin ( x )}{cot ( x ) + csc ( x )}