What is (sec^2(x))/(sec^2(x)-1) ?

The solution to (sec^2(x))/(sec^2(x)-1) is csc^2(x)

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simplify (sec^2(x))/(sec^2(x)-1)

simplify

\frac{sec ^{2} ( x )}{sec ^{2} ( x ) - 1}

csc^{2} (x)

Solution steps

\frac{sec ^{2} ( x )}{sec ^{2} ( x ) - 1}

Express with sin, cos

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

Rewrite using trig identities

= csc^{2} (x)

\frac{2}{2 - 1}

\frac{5}{1} + \frac{1}{2}

i^{624}

\frac{4}{2 + 7}

\frac{( - 1 ) ^{2 - 1}}{2 ^{2}}

What is (sec^2(x))/(sec^2(x)-1) ?
The solution to (sec^2(x))/(sec^2(x)-1) is csc^2(x)