Solve sin 2x cosx sinx

Evaluate

sin (2 x) cos (x) sin (x)

Use sin (2 t) = 2 sin t cos t to transform the expression

2 cos (x) sin (x) cos (x) sin (x)

Multiply the terms

More Steps

2 (sin (x) cos (x))^{2}

Transform the expression

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

Rewrite the expression

2 \times \frac{sin ^{2} ( 2 x )}{4}

Reduce the numbers

1 \times \frac{sin ^{2} ( 2 x )}{2}

Reduce the numbers

1 \times \frac{1}{2} sin^{2} (2 x)

Solution

\frac{1}{2} sin^{2} (2 x)

Simplify the expression