If `sinx=3/5,cosy=-(12)/(13),`where x and y both lie in second quadrant, find the value of `sin (x + y)dot`

Explanation

To solve the problem, we need to find the value of \( \sin(x + y) \) given that \( \sin x = \frac{3}{5} \) and \( \cos y = -\frac{12}{13} \), with both \( x \) and \( y \) lying in the second quadrant.

### Step-by-Step Solution:

1. **Use the sine addition formula**:
\[ \sin(x + y) = \sin x \cos y + \cos x \sin y \]
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