What is (sin(3x))/(cos(3x))dx ?

The solution to (sin(3x))/(cos(3x))dx is tan(3x)dx

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simplify (sin(3x))/(cos(3x))dx

simplify

\frac{sin ( 3 x )}{cos ( 3 x )} d x

tan (3 x) d x

Solution steps

\frac{sin ( 3 x )}{cos ( 3 x )} d x

Multiply fractions:

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

= \frac{sin ( 3 x ) d x}{cos ( 3 x )}

Use the basic trigonometric identity:

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

= d x tan (3 x)

d x (\frac{1}{sin ( x )})

f (x) = 5 sec (3) x^{2}

sin (- a x)

co tan (- π)

cot (x - (\frac{5 π}{2}))

What is (sin(3x))/(cos(3x))dx ?
The solution to (sin(3x))/(cos(3x))dx is tan(3x)dx