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

The solution to expand (cot(x/2)-csc(x))sin(x) is cot(x/2)sin(x)-1

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

expand

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

cot (\frac{x}{2}) sin (x) - 1

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

csc (x) sin (x) = 1

= cot (\frac{x}{2}) sin (x) - 1

\frac{9 ( ln ( 6 ) - 1 )}{ln ( 6 )}

(1 - 2 x) e^{x}

3 cos (\frac{π}{4} (x + 2)) - 1

- (3 (1 - sin (θ)))

(4 + 3 i)^{9}

What is expand (cot(x/2)-csc(x))sin(x) ?
The solution to expand (cot(x/2)-csc(x))sin(x) is cot(x/2)sin(x)-1