What is (cos(x))/(sin(x))dx ?

The solution to (cos(x))/(sin(x))dx is cot(x)dx

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simplify (cos(x))/(sin(x))dx

simplify

\frac{cos ( x )}{sin ( x )} d x

cot (x) d x

Solution steps

\frac{cos ( x )}{sin ( x )} d x

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{cos ( x ) d x}{sin ( x )}

Use the basic trigonometric identity:

\frac{cos ( x )}{sin ( x )} = cot (x)

= d x cot (x)

sin (arctan (\frac{x - 1}{x + 3}))

cot (27 0^{\circ} + x)

tan (32 π - x)

a rco sin (- \frac{3}{2} π)

sin (6 x + π)