What is (dv)/(-sin^2(v)) ?

The solution to (dv)/(-sin^2(v)) is -csc^2(v)dv

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simplify (dv)/(-sin^2(v))

simplify

\frac{d v}{- sin ^{2} ( v )}

- csc^{2} (v) d v

Solution steps

\frac{d v}{- sin ^{2} ( v )}

Apply the fraction rule:

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

= - \frac{d v}{sin ^{2} ( v )}

Use the basic trigonometric identity:

\frac{1}{sin ( x )} = csc (x)

= - d v csc^{2} (v)

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