展开 (sin(x)+tan(x))(cos(x)-cot(x))

解答

展开

(sin (x) + tan (x)) (cos (x) - cot (x))

cos (x) sin (x) + sin (x) - cot (x) sin (x) - cot (x) tan (x)

求解步骤

(sin (x) + tan (x)) (cos (x) - cot (x))

Apply FOIL method

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

= cos (x) sin (x) + sin (x) - cot (x) sin (x) - cot (x) tan (x)

e x p an d \frac{( x + 1 ) ( x - 2 )}{( x + 2 ) ( x - 4 )}

e x p an d \frac{( x - 1 ) ( x + 2 )}{( x - 3 ) ( x + 7 )}

e x p an d - \frac{12 s ^{2} - 35 s + 28}{2 ( s + 1 ) ^{2} ( s - 2 )}

e x p an d 5 (2 + 9)

e x p an d \frac{48 x ^{2} + 3 x + 18}{( 5 x ^{2} + x + 3 ) ( x - 3 )}