展开 ((sec(x)+sin(x))cot(x))/(csc(x)+cos(x))

解答

展开

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

1

求解步骤

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

乘开

(sec (x) + sin (x)) cot (x) : cot (x) sec (x) + cot (x) sin (x)

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

cot (x) sec (x) = csc (x)

cot (x) sin (x) = cos (x)

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

使用法则

\frac{a}{a} = 1

= 1

e x p an d - \frac{( x + 1 ) ( x - 2 ) ( x - 5 )}{8}

e x p an d 3 x - 2 \cdot (3 x - 2)

e x p an d x^{2} + 3 x - 28 x^{2} + 3 x - 28

e x p an d \frac{4 s ^{3} + 4 + 2 e ^{- s} s ^{2}}{s ^{2} ( s ^{2} - 4 s + 3 )}

e x p an d \frac{2}{x + 1} - \frac{x}{x + 1}