Question

how can I simplify: sin(Π+x)-sin(Π-x)

Answer 1

you can expand both using the sum and difference of angles

\[\sin(A \pm B) = \sin(A) \cos(B) \pm \sin(B)\cos(A)\]

find the value if \[\sin(\pi) \]

and simplify

Answer 2

that`s what I did, I expanded it into
\[(\sinΠcosx+\cosΠsinx)-(\sinΠcosx-\cosΠsinx)\]

so sinΠcosx and sinΠcosx are cancelled out (minus)

then I don`t know what to do... =(

Answer 3

sin(pi + x) = -sin(x)
sin(pi - x) = sin(x)

Answer 4

you need to be careful and 1st fine the value of

\[\cos(\pi)\] and substitute it