Find the value of y if the following equations has at least one solution.
(i) `5sinx + 12cosx = y^(2)-4y+17`
(ii) `4"cosec"^(2)pi(y+x)+y^(2)-4y=0`

Explanation

To solve the problem, we need to find the value of \( y \) such that the following equations have at least one solution:

1. \( 5 \sin x + 12 \cos x = y^2 - 4y + 17 \)
2. \( 4 \csc^2(\pi(y+x)) + y^2 - 4y = 0 \)

### Step 1: Analyze the first equation

The first equation is:
...