Question

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

Answer 1

Answer:

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

- The above formular is the identity of sine double angles

$- { \tt{ \sin( \frac{x}{2} ) = - 2 \sin( \frac{x}{4} ) \cos( \frac{x}{4} ) }} \\ \\ { \boxed{ \tt{ \sin( \frac{x}{2} ) = 2 \sin( \frac{x}{4} ) \cos( \frac{x}{4} ) }}}$