展开 sqrt(1+(sin^2(wx))/(cos^2(wx)))

解答

展开

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

sec (w x)

求解步骤

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

化简

1 + \frac{sin ^{2} ( w x )}{cos ^{2} ( w x )} : sec^{2} (w x)

= sec^{2} (w x)

使用根式运算法则:

n a^{n} = a,

假定

a \geq 0

= sec (w x)

e x p an d (x - 1)^{4}

e x p an d - \frac{2 x ( - x ^{2} + 12 )}{( x ^{2} + 4 ) ^{3}}

e x p an d - \frac{5 x - 7}{( x - 3 ) ^{3}}

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

e x p an d \frac{18 x ^{2} + 3 x + 6}{( 3 x + 1 ) ^{3}}