Question

Check all that apply. If sine = 15, then: 17 O A. cose = ] O B. csco 17 15 3 c. tang = 15 8 D. seco 17 8

Answer 1

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:

`\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}`

We find that the adjacent leg is equal to 8, and with these data we find the trigonometric ratios of the angle:

`\begin{gathered} \cos \text{ }\vartheta=(8)/(17) \\ \csc \vartheta=(17)/(15) \\ \tan \vartheta=(15)/(8) \\ \\ \sec \vartheta=(17)/(8) \end{gathered}`

Here we can see that the options that apply are: B, C and D.