What is (cot(x/4))/(-sin^2(x)) ?

The solution to (cot(x/4))/(-sin^2(x)) is -csc^2(x)cot(x/4)

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simplify (cot(x/4))/(-sin^2(x))

simplify

\frac{cot ( \frac{x}{4} )}{- sin ^{2} ( x )}

- csc^{2} (x) cot (\frac{x}{4})

Solution steps

\frac{cot ( \frac{x}{4} )}{- sin ^{2} ( x )}

Apply the fraction rule:

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

= - \frac{cot ( \frac{x}{4} )}{sin ^{2} ( x )}

Simplify

\frac{cot ( \frac{x}{4} )}{sin ^{2} ( x )} : csc^{2} (x) cot (\frac{x}{4})

= - csc^{2} (x) cot (\frac{x}{4})

(1 - (1 - x)) (1 - x)^{4}

5 x + 15 x y

4 x (x + 1) (x - 1) - 9 x

(\frac{( - 3 x ^{4} )}{z})^{2}

f (x) x^{2} - 3 x

What is (cot(x/4))/(-sin^2(x)) ?
The solution to (cot(x/4))/(-sin^2(x)) is -csc^2(x)cot(x/4)