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

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

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

simplify

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

sin^{2} (x)

Solution steps

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

Express with sin, cos

= 1 - cos^{2} (x)

Rewrite using trig identities

= sin^{2} (x)

\frac{4}{5 + 1} + 1

9 + 220 - 21 + 280

\frac{sec ( x )}{csc ( x )}

2 x (2 x - 3) - 3 x (x - 2)

\frac{x + 2}{x ^{2} + 7 x + 10}

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