1. The unit circle

2. Complete the radian row of this table using exact numbers30 45 60 90
120
135
150
180
210
225
240
270
300
315
330
360

3. Radians should be: 30 45 60 90
120
135
150
180
210
225
240
270
300
315
330
360

4. The Unit Circle 1 Consider the circle shown opposite.y
Make a right angled triangle.
An expression for x:
(x,y) 1 y x x
An expression for y:
And now use tan:

5. The Unit Circle - the second quadrant
Make an expression for x: 1
Make an expression for y: y -x
Make an expression for tan:
What about the third and fourth quadrants?

6. Trig. ratios in the 1st quadrant (1)
1. Find the missing side, giving your answer as a surd.
2. Find an expression for sin .
3. Find an expression for cos .
4. Find an expression for tan .
5. Find the value of the angle, using any of 2-4.
6. Fill in the appropriate column of your table 2 1

7. Trig. ratios in the 1st quadrant (2)
1. Find the missing side, giving your answer as a surd.
2. Find an expression for sin .
3. Find an expression for cos .
4. Find an expression for tan .
5. Find the value of the angle, using any of 2-4.
6. Fill in the appropriate column of your table 1 1

8. Trig. ratios in the 1st quadrant (3)
1. Find the missing side, giving your answer as a surd.
2. Find an expression for sin .
3. Find an expression for cos .
4. Find an expression for tan .
5. Find the value of the angle, using any of 2-4.
6. Fill in the appropriate column of your table 2 1

9. Trig. ratios in the 2nd quadrant
1. Find the missing side, giving your answer as a surd.
2. Find an expression for sin .
3. Find an expression for cos .
4. Find an expression for tan .
5. Find the value of the angle, using any of 2-4.
6. Fill in the appropriate column of your table 2 -1
Use your answers from previous slides to fill in all the angles trig. values in the second quadrant.

10. Trig. ratios in the 3rd quadrant
1. Find the missing side, giving your answer as a surd.
2. Find an expression for sin .
3. Find an expression for cos .
4. Find an expression for tan .
5. Find the value of the angle, using any of 2-4.
6. Fill in the appropriate column of your table -1 -1
Use your answers from previous slides to fill in all the angles trig. values in the third quadrant.

11. Trig. ratios in the 4th quadrant
1. Find the missing side, giving your answer as a surd.
2. Find an expression for sin .
3. Find an expression for cos .
4. Find an expression for tan .
5. Find the value of the angle, using any of 2-4.
6. Fill in the appropriate column of your table -1 2
Use your answers from previous slides to fill in all the angles trig. values in the second quadrant.

12. The completed table 30 45 60 90
120
135
150
180 1 -1 -
210
225
240
270
300
315
330
360 -1 1 -