展开 2sec(pi/4 (x+1))

解答

展开

2 sec (\frac{π}{4} (x + 1))

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

求解步骤

2 sec (\frac{π}{4} (x + 1))

乘开

\frac{π}{4} (x + 1) : \frac{π}{4} x + 1 \cdot \frac{π}{4}

= 2 sec (\frac{π}{4} x + 1 \cdot \frac{π}{4})

使用三角恒等式改写

= 2 \cdot \frac{2}{cos ( \frac{π x}{4} ) - sin ( \frac{π x}{4} )}

分式相乘:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 \cdot 2}{cos ( \frac{π x}{4} ) - sin ( \frac{π x}{4} )}

e x p an d \frac{x ^{2} ( 4 - x )}{4}

e x p an d - \frac{2 x ^{2} ( 15 y ^{4} + 2 x ^{4} )}{25 y ^{4}}

e x p an d (t^{2} - sin (t)) d t

e x p an d \frac{( 1125 b ^{2} + 256 a ^{3} ) ^{3}}{125000000}

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