展开 (csc(x)-cot(x))(1+cos(x))cot(x)

解答

展开

(csc (x) - cot (x)) (1 + cos (x)) cot (x)

cos (x)

求解步骤

(csc (x) - cot (x)) (1 + cos (x)) cot (x)

= cot (x) (csc (x) - cot (x)) (1 + cos (x))

Apply FOIL method

(csc (x) - cot (x)) (1 + cos (x)) : sin (x)

= cot (x) sin (x)

用 sin, cos 表示

= cos (x)

s im pl i f y 5 t (x) x^{^{''}} + (t (x) - 10) x^{^{'}} - x

e x p an d A (2, - 3)

e x p an d \frac{3 x x ^{2} + 1}{( x ^{2} - 9 ) ( - x ^{2} + 2 x - 3 )}

e x p an d P (0, - 3) Q (- 1, 7)

\frac{\partial}{\partial x} ((z) (yz - z^{2} + x n y))