What is (sin(2x))/(sin(x))dx ?

The solution to (sin(2x))/(sin(x))dx is sin(2x)csc(x)dx

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simplify (sin(2x))/(sin(x))dx

simplify

\frac{sin ( 2 x )}{sin ( x )} d x

sin (2 x) csc (x) d x

Solution steps

\frac{sin ( 2 x )}{sin ( x )} d x

Multiply fractions:

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

= \frac{sin ( 2 x ) d x}{sin ( x )}

Use the basic trigonometric identity:

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

= sin (2 x) d x csc (x)

sin (4 π x) \cdot cos (4 π x)

7 cos (100 t - \frac{π}{2})

\frac{sin ( 2 π x + 2 π x )}{4}

cot (- a)

What is (sin(2x))/(sin(x))dx ?
The solution to (sin(2x))/(sin(x))dx is sin(2x)csc(x)dx