What is the correct answer for all? I need help!!

1) We have to find csc(theta).
The csc of an angle can be written as:
[tex]\csc (\theta)=\frac{1}{\sin (\theta)}=\frac{hypotenuse}{opposite}[/tex]Here, the hypotenuse is 8*sqrt(2) and the opposite side has a length of 8, so we can write:
[tex]\csc (\theta)=\frac{8\sqrt[]{2}}{8}=\sqrt[]{2}[/tex]Answer: B) sqrt(2)
2) The cot can be written as:
[tex]\cot (\theta)=\frac{1}{\tan (\theta)}=\frac{\text{adyacent}}{\text{opposite}}[/tex]In this case, with adyacent of length 15 and opposite of length 8, we have:
[tex]\cot (\theta)=\frac{15}{8}[/tex]Answer: D) 15/8
3)
[tex]\sin (\theta)=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{20}{25}=\frac{4}{5}[/tex]Answer: C) 4/5
4)
[tex]\sin (\theta)=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{3}{5}[/tex]Answer: C) 3/5
5)
[tex]\csc (\theta)=\frac{\text{hypotenuse}}{\text{opposite}}=\frac{15}{9}=\frac{5}{3}[/tex]Answer: A) 5/3