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