What is expand (2sin(x)-sin(2x))csc^2(x/2) ?

The solution to expand (2sin(x)-sin(2x))csc^2(x/2) is csc^2(x/2)*2sin(x)-csc^2(x/2)sin(2x)

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expand (2sin(x)-sin(2x))csc^2(x/2)

expand

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

csc^{2} (\frac{x}{2}) \cdot 2 sin (x) - csc^{2} (\frac{x}{2}) sin (2 x)

Solution steps

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

= csc^{2} (\frac{x}{2}) (2 sin (x) - sin (2 x))

Apply the distributive law:

a (b - c) = ab - a c

csc^{2} (\frac{x}{2}) (2 sin (x) - sin (2 x)) = csc^{2} (\frac{x}{2}) \cdot 2 sin (x) - csc^{2} (\frac{x}{2}) sin (2 x)

= csc^{2} (\frac{x}{2}) \cdot 2 sin (x) - csc^{2} (\frac{x}{2}) sin (2 x)

(x + 2 y)^{2}

\frac{s}{( s - 1 ) ( s + 1 )}

(2 x^{2} + x - 3) (x + 1)

\frac{L - 11}{( s + 1 ) ( s ^{2} + 1 )}

\frac{2 ( 5 + 2 10 )}{3}

What is expand (2sin(x)-sin(2x))csc^2(x/2) ?
The solution to expand (2sin(x)-sin(2x))csc^2(x/2) is csc^2(x/2)*2sin(x)-csc^2(x/2)sin(2x)