化简 (cosh^2(x))/(sqrt(1+sinh^2(x)))

解答

化简

\frac{cosh ^{2} ( x )}{1 + sinh ^{2} ( x )}

cosh (x)

求解步骤

\frac{cosh ^{2} ( x )}{1 + sinh ^{2} ( x )}

化简

1 + sinh^{2} (x) : cosh (x)

= \frac{cosh ^{2} ( x )}{cosh ( x )}

使用指数法则:

a^{b + c} = a^{b} \cdot a^{c}

cosh^{2} (x) = cosh (x) cosh (x)

= \frac{cosh ( x ) cosh ( x )}{cosh ( x )}

约分:

cosh (x)

= cosh (x)

s im pl i f y \frac{x ^{2} - 6 x - 16}{x ^{2} - 5 x - 14}

s im pl i f y \frac{144}{360}

s im pl i f y \frac{16 !}{4 ! ( 16 - 4 ) !}

s im pl i f y (3 x y)^{3}

s im pl i f y \frac{7 a}{3 b} + \frac{a}{- 3 b}