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

asked Mar 14, 2023 227k views

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

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

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7 votes

Answer:

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

- The above formular is the identity of sine double angles

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

Bluepnume answered Mar 18, 2023

7.5k points

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