Question

If sin(x) = A, find the value of sin(2π − x).

Answer 1

Hello here is a solution :
sin(2π − x). = sin(-x) = - sin(x) = -A

Answer 2

-A

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.