Find the exact value of din(-7pi/6)

To find the exact value of the function `sin(-7pi/6)`, we can use the properties of the sine function:

sin(-x) = -sin(x)

Therefore, sin(-7pi/6) = -sin(7pi/6)

Now, we know that sin(pi/6) = 1/2

Therefore, sin(7pi/6) = -sin(pi/6) = -1/2

So, the exact value of sin(-7pi/6) is -1/2.