簡約 (2cos(a-b))/(sin(a-b)+sin(a+b))-cot(a)

解

簡約

\frac{2 cos ( a - b )}{sin ( a - b ) + sin ( a + b )} - cot (a)

\frac{- cot ( a ) sin ( a - b ) - cot ( a ) sin ( a + b ) + 2 cos ( a - b )}{sin ( a - b ) + sin ( a + b )}

解答ステップ

\frac{2 cos ( a - b )}{sin ( a - b ) + sin ( a + b )} - cot (a)

結合

\frac{2 cos ( a - b )}{sin ( a - b ) + sin ( a + b )} - cot (a) : \frac{- cot ( a ) sin ( a - b ) - cot ( a ) sin ( a + b ) + 2 cos ( a - b )}{sin ( a - b ) + sin ( a + b )}

= \frac{- cot ( a ) sin ( a - b ) - cot ( a ) sin ( a + b ) + 2 cos ( a - b )}{sin ( a - b ) + sin ( a + b )}