What is (dy)/(-csc(y)) ?

The solution to (dy)/(-csc(y)) is -sin(y)dy

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simplify (dy)/(-csc(y))

simplify

\frac{d y}{- csc ( y )}

- sin (y) d y

Solution steps

\frac{d y}{- csc ( y )}

Apply the fraction rule:

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

= - \frac{d y}{csc ( y )}

Use the basic trigonometric identity:

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

= - d y sin (y)

sin (arctan (\frac{v}{6}))

cos (a - π)

cos (\frac{x}{2} + 0.1)

sin (4 x + \frac{π}{3})

cos (x + π) + 1