Question

I need help on this one! Please and thank you!

Answer 1

-0.922 is ur answer! x

Answer 2

Given:

`\cos \theta\text{ =- }(1)/(8)`

Solving for the angle measure:

`\begin{gathered} \theta\text{ = }\cos ^(-1)(-(1)/(8)) \\ =\text{ }97.181 \end{gathered}`

Hence, we can find the exact value of sin theta:

`\begin{gathered} But\text{ }\theta\text{ is in the third quadrant.} \\ \sin (97.181\text{ -180) = sin(-82.8190}) \\ =\text{ -0.992} \end{gathered}`

Hence, the exact value of sin theta is -0.992