展开 (6cos(tsin(t))+10)*(sin(t)+tcos(t))

解答

展开

(6 cos (t sin (t)) + 10) \cdot (sin (t) + t cos (t))

6 cos (t sin (t)) sin (t) + 6 t cos (t sin (t)) cos (t) + 10 sin (t) + 10 t cos (t)

求解步骤

(6 cos (t sin (t)) + 10) (sin (t) + t cos (t))

Apply FOIL method

(6 cos (t sin (t)) + 10) (sin (t) + t cos (t)) : 6 cos (t sin (t)) sin (t) + 6 t cos (t sin (t)) cos (t) + 10 sin (t) + 10 t cos (t)

= 6 cos (t sin (t)) sin (t) + 6 t cos (t sin (t)) cos (t) + 10 sin (t) + 10 t cos (t)

s im pl i f y x \cdot (x - \frac{1}{2}) \cdot (x - 1)

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

e x p an d (2 - 1) (25 + 3)

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

s im pl i f y (1 - u_{2 π} (t)) sin (t)