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Popular >

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

Solution

simplify

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

Solution

- sec^{2} (x)

Solution steps

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

Simplify

sin^{2} (x) - 1 : - cos^{2} (x)

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

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

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

Simplify

\frac{1}{cos ^{2} ( x )} : sec^{2} (x)

= - sec^{2} (x)

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Frequently Asked Questions (FAQ)

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