展开 8(pi/6+(sqrt(3))/4)

解答

展开

8 (\frac{π}{6} + \frac{3}{4})

\frac{4 π}{3} + 23

十进制

7.65289 \dots

求解步骤

8 (\frac{π}{6} + \frac{3}{4})

使用分配律:

a (b + c) = ab + a c

a = 8, b = \frac{π}{6}, c = \frac{3}{4}

= 8 \cdot \frac{π}{6} + 8 \cdot \frac{3}{4}

化简

8 \cdot \frac{π}{6} + 8 \cdot \frac{3}{4} : \frac{4 π}{3} + 23

= \frac{4 π}{3} + 23

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