1. 8-1 Standards 8a - Draw angles that are negative or are larger than 180° 8b - Find the quadrant and reference angles of a given angle in standard position. 8c - Given a point or the quadrant of the terminal side of an angle, find the six exact trigonometric values. 8d - Given a trigonometric value and the quadrant of an angle, find the other five exact trigonometric values.

2. y x r

3. y x r b a c What do you remember about this triangle? And this one?

4. b a c y x r

5. (1, 2) α r The terminal side of the angle here is r And r can be found by… Starting α from the positive x- axis is called Standard Position

6. α r The terminal side of the angle here is r And r can be found by… ? Important Note: the value of r will always be positive y x

7. (1, 2) α r

8. (x, y) α r So the general formulas look like this:

9. (–1, 2) r θ θ is called the reference angle reference angle The acute angle made between the terminal side (r) and the x-axis More on this later

10. r Co-terminal angles Angles that have the same initial and terminal sides and the x-axis β α and β are examples of co-terminal angles. Co-terminal angles always differ by multiples of 360°

11. α r Find all of the trig functions of α

12. Find all of the trig functions of α g iven a terminal side through the point (–5, –12)

13. Find all of the trig functions of θ given that …and θ is in Quadrant IV