展開する (csc(a)(tan(a)-sin(a)))/(1-sec(a))

解

展開する

\frac{csc ( a ) ( tan ( a ) - sin ( a ) )}{1 - sec ( a )}

\frac{- 1 + csc ( a ) tan ( a )}{1 - sec ( a )}

解答ステップ

\frac{csc ( a ) ( tan ( a ) - sin ( a ) )}{1 - sec ( a )}

拡張

csc (a) (tan (a) - sin (a)) : csc (a) tan (a) - csc (a) sin (a)

= \frac{csc ( a ) tan ( a ) - csc ( a ) sin ( a )}{1 - sec ( a )}

csc (a) sin (a) = 1

= \frac{- 1 + csc ( a ) tan ( a )}{1 - sec ( a )}