1) We have to find csc(theta).
The csc of an angle can be written as:

Here, the hypotenuse is 8*sqrt(2) and the opposite side has a length of 8, so we can write:
![\csc (\theta)=\frac{8\sqrt[]{2}}{8}=\sqrt[]{2}](https://img.qammunity.org/2023/formulas/mathematics/college/dzpi85pmblcumhzevz9bddld1qud8m0wat.png)
Answer: B) sqrt(2)
2) The cot can be written as:

In this case, with adyacent of length 15 and opposite of length 8, we have:

Answer: D) 15/8
3)

Answer: C) 4/5
4)

Answer: C) 3/5
5)

Answer: A) 5/3