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

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

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

simplify

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

sec^{2} (x)

Solution steps

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

Rewrite using trig identities

= \frac{tan ^{2} ( x )}{sin ^{2} ( x )}

Express with sin, cos

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

Rewrite using trig identities

= sec^{2} (x)

6 + x - 17

- \frac{1}{4} + \frac{3}{5} - \frac{1}{3} - \frac{2}{6}

sin^{2} (x) - sin (x)

\frac{11}{3}

(3 z^{5} + 7 z^{2}) 2

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