Solution
- To solve the question, we need to find the equivalent of cos 765° on the unit circle before we can locate it on the unit circle.
- The unit circle only allows for angles ranging from 0° to 360°, before the whole cycle restarts.
- Thus, if 765° is the angle we are looking for, we simply need to count how many full 360° cycles we can find in 765°
- After the first cycle, 360° have elapsed
- After the second cycle, 360° + 360° = 720° have passed.
- The angle remaining would be
[tex]765°-720\degree=45°[/tex]
- Thus, cos 765° would look like this:
