簡約 ((sin(1))/2 x-(cos(1))/2 x)^2

解

簡約

(\frac{sin ( 1 )}{2} x - \frac{cos ( 1 )}{2} x)^{2}

\frac{( sin ( 1 ) - cos ( 1 ) ) ^{2} x ^{2}}{4}

解答ステップ

(\frac{sin ( 1 )}{2} x - \frac{cos ( 1 )}{2} x)^{2}

簡素化

\frac{sin ( 1 )}{2} x - \frac{cos ( 1 )}{2} x : \frac{x ( sin ( 1 ) - cos ( 1 ) )}{2}

= (\frac{x ( sin ( 1 ) - cos ( 1 ) )}{2})^{2}

指数の規則を適用する:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( x ( sin ( 1 ) - cos ( 1 ) ) ) ^{2}}{2 ^{2}}

2^{2} = 4

= \frac{( x ( sin ( 1 ) - cos ( 1 ) ) ) ^{2}}{4}

指数の規則を適用する:

(a \cdot b)^{n} = a^{n} b^{n}

= \frac{( sin ( 1 ) - cos ( 1 ) ) ^{2} x ^{2}}{4}