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Popular >

simplify 1/(cos^2(t)-1)

Solution

simplify

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

Solution

- csc^{2} (t)

Solution steps

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

Simplify

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

= \frac{1}{- sin ^{2} ( t )}

Apply the fraction rule:

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

= - \frac{1}{sin ^{2} ( t )}

Simplify

\frac{1}{sin ^{2} ( t )} : csc^{2} (t)

= - csc^{2} (t)

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Frequently Asked Questions (FAQ)

What is 1/(cos^2(t)-1) ?
The solution to 1/(cos^2(t)-1) is -csc^2(t)