Question

The terminal side contains the point (-6, -8). Find sin θ.Question 1 options:.8.6-.8-.6

Answer 1

The first option: 0.8

Step-by-step explanation:

Let us draw the angle.

Now,

`\sin \theta=\frac{opposite}{\text{hypotenuse}}`

Now, using the Pythagoras theorem we find that

`hypotenuse=\sqrt[]{6^2+8^2}`
`\begin{gathered} hypotenuse=\sqrt[]{36+64^{}} \\ \Rightarrow hypotenuse=10 \end{gathered}`

Therefore,

`\sin \theta=(opposite)/(hypotenuse)=(opposite)/(10)`

since for our angle, opposite = 8, we have

`\sin \theta=(8)/(10)`
`\boxed{\sin \theta=0.8.}`

Therefore, the first choice (0.8) is the correct answer.