展开-10(pi/6-(sqrt(3))/2)

解答

展开

- 10 (\frac{π}{6} - \frac{3}{2})

- \frac{5 π}{3} + 53

十进制

3.42426 \dots

求解步骤

- 10 (\frac{π}{6} - \frac{3}{2})

使用分配律:

a (b - c) = ab - a c

a = - 10, b = \frac{π}{6}, c = \frac{3}{2}

= - 10 \cdot \frac{π}{6} - (- 10) \frac{3}{2}

使用加减运算法则

- (- a) = a

= - 10 \cdot \frac{π}{6} + 10 \cdot \frac{3}{2}

化简

- 10 \cdot \frac{π}{6} + 10 \cdot \frac{3}{2} : - \frac{5 π}{3} + 53

= - \frac{5 π}{3} + 53

e x p an d \frac{3 ( 5 sin ^{6} ( t ) + 5 cos ^{4} ( t ) ) sin ( 2 t )}{2}

e x p an d (x - 5)^{2} y^{''} (x) + 10 (x - 5) y^{'} (x) + 7 y

e x p an d \frac{4 9 x ^{3}}{3 x}

e x p an d - 2 (x - 2 - 4 = - 3 (x - 5))

e x p an d \frac{4 y - y}{x y}