展开 cos(x)(pi/2-x)

解答

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cos (x) (\frac{π}{2} - x)

\frac{π}{2} cos (x) - x cos (x)

求解步骤

cos (x) (\frac{π}{2} - x)

使用分配律:

a (b - c) = ab - a c

a = cos (x), b = \frac{π}{2}, c = x

= cos (x) \frac{π}{2} - cos (x) x

= \frac{π}{2} cos (x) - x cos (x)

e x p an d \frac{d}{d x} ((2 x^{3} - 1) lo g_{10} (3 x + 5)) + 4

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

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

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

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