1. Help I’m trapped in a nutshell
Trig – In a Nutshell
Help I’m trapped in a nutshell

2. The Unit Circle
(0,1)
-,+
+,+
(-1,0)
(1,0)
-,-
+,-
(0,-1)

3. Terminal ray + θ -

4. These are the reference triangles

5. Trigonometric Functionsy θ x

6. Conversion
Radians to Degrees:
Degrees to Radians:

7. Lets quickly review

8. Examples Find 150 What Quadrant? Q II 1 1/2 Pull out Triangle 60 15030
Draw down side to x-axis

9. What Happens if…
If you land on an axis, there is no triangle. So instead of using sides of the triangle, use x, y and r. Unless otherwise specified, r = 1.
Find sin π, cos π and tan π.
What would csc be?
(-1,0)

10. Examples
1. If

11. Examples
Find the values of the six trig. functions of , if  is an angle
in standard position with the point (4 , 3) on its terminal ray.