Simplify the expression so that it is expressed in terms of cosine to the first degree: -\mathrm{sin}((x)/(2))

Question

Simplify the expression so that it is expressed in terms of cosine to the first degree:


`-\mathrm{sin}((x)/(2))`

Answer 1

`{ \tt{ - \sin(2x) = - 2 \sin(x) \cos(x) }}`

- The above formular is the identity of sine double angles

`- { \tt{ \sin( (x)/(2) ) = - 2 \sin( (x)/(4) ) \cos( (x)/(4) ) }} \\ \\ { \boxed{ \tt{ \sin( (x)/(2) ) = 2 \sin( (x)/(4) ) \cos( (x)/(4) ) }}}`