What is expand sin(x)(cos(x)+cos(x)sin(x)) ?

The solution to expand sin(x)(cos(x)+cos(x)sin(x)) is cos(x)sin(x)+sin^2(x)cos(x)

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expand sin(x)(cos(x)+cos(x)sin(x))

expand

sin (x) (cos (x) + cos (x) sin (x))

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

Solution steps

sin (x) (cos (x) + cos (x) sin (x))

Apply the distributive law:

a (b + c) = ab + a c

sin (x) (cos (x) + cos (x) sin (x)) = sin (x) cos (x) + sin (x) cos (x) sin (x)

= sin (x) cos (x) + sin (x) cos (x) sin (x)

Simplify

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

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

\frac{180 ( 5 - x ^{2} )}{( x ^{2} + 15 ) ^{3}}

(240 cos (w x) - 29 cos (3 w x))^{2}

\frac{9 x ^{3} - 54 x ^{2} + 12 x + 5}{( x - 2 ) ^{3}}

5 x (x - 72)

\frac{( ( s + 1 ) \cdot e ^{(- 0.5 s)} )}{( s \cdot ( s + 2 ) \cdot ( s + 3 ) )}

What is expand sin(x)(cos(x)+cos(x)sin(x)) ?
The solution to expand sin(x)(cos(x)+cos(x)sin(x)) is cos(x)sin(x)+sin^2(x)cos(x)