ANSWER :
The answer is :

EXPLANATION :
Note that cotangent is only positive when the angle is in the first or third quadrant.
Since y is not in the first quadrant, it must be in the third quadrant.
So the x and y are both negative.
An angle with a terminal point (x, y)
The cotangent is x/y
We can equate :

Since x and y are both negatives, x = -9 and y = -13
We can have the triangle :
The hypotenuse will be :

We are asked to find the value of sec y.
In an angle with a terminal point (x, y)
The secant is :

The hypotenuse is 5√10 and x = -9
The value of sec will be :
