Okay, here we have this:
We know that sin θ=15/17. this mean that the leg opposite the angle is equal to 15 and the hypotenuse is 17, from this information we find the adjacent leg:
[tex]\begin{gathered} 17^2=15^2+x^2 \\ x^2=17^2-15^2 \\ x^2=289-225 \\ x^2=64 \\ x=8 \end{gathered}[/tex]
We find that the adjacent leg is equal to 8, and with these data we find the trigonometric ratios of the angle:
[tex]\begin{gathered} \cos \text{ }\vartheta=\frac{8}{17} \\ \csc \vartheta=\frac{17}{15} \\ \tan \vartheta=\frac{15}{8} \\ \\ \sec \vartheta=\frac{17}{8} \end{gathered}[/tex]
Here we can see that the options that apply are: B, C and D.
