Question

demonstre que sen(π - x) = senx​

Answer 1

Seno da diferença

$\mathtt{sen(a-b)=sen(a).cos(b)-sen(b).cos(a) }$

$\mathtt{sen(\pi-x)}\\=\mathtt{sen(\pi).cos(x)-sen(x).cos(\pi)}$

$\mathtt{sen(\pi-x)=0.cos(x)-sen(x). (-1)=sen(x) }$

Portanto

$\boxed{\boxed{\mathtt{sen(\pi-x)=sen(x)}}}$