Given that tanθ ≈ - 3.966 where π__

2 < θ < π, find the values of sinθ and cosθ.

okay good, that means they are looking for the sine and cosine in quadrant II from the unit circle

Step-by-step explanation:

cos theta = -.2444

sin theta =.9696

These are rounded so be careful. In order to do this, I found the angle using my calculator. It was - 75.85, so since this is not in quadrant 2, I added 180 to it to find the angle in quadrant 2. The answer to that is 104.1517 degrees. I then used my calculator again to find the sine and cosine values that i gave you above.