What is (cosh^2(x))/(sqrt(1+sinh^2(x))) ?

The solution to (cosh^2(x))/(sqrt(1+sinh^2(x))) is cosh(x)

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simplify (cosh^2(x))/(sqrt(1+sinh^2(x)))

simplify

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

cosh (x)

Solution steps

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

Simplify

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

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

Apply exponent rule:

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

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

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

Cancel the common factor:

cosh (x)

= cosh (x)

\frac{x ^{2} - 6 x - 16}{x ^{2} - 5 x - 14}

\frac{144}{360}

\frac{16 !}{4 ! ( 16 - 4 ) !}

(3 x y)^{3}

\frac{7 a}{3 b} + \frac{a}{- 3 b}

What is (cosh^2(x))/(sqrt(1+sinh^2(x))) ?
The solution to (cosh^2(x))/(sqrt(1+sinh^2(x))) is cosh(x)