Answer:
-A
Step-by-step explanation:
It is given that
[tex]\sin (x)=A[/tex]
We need to find the value of [tex]\sin (2\pi -x)[/tex].
According to the trigonometric property:
[tex]\sin (2\pi -\theta)=-\sin \theta[/tex]
Using this property, we get
[tex]\sin (2\pi -x)=-\sin x[/tex]
[tex]\sin (2\pi -x)=-A[/tex] [tex][\because \sin (x)=A][/tex]
Therefore, the value of [tex]\sin (2\pi -x)[/tex] is -A.
