Developing the Unit Circle, Part 1 Name ___________________________
Period ___________________________
1. Using the right triangle diagram, write an equation for x in terms of ?.
2. Using the right triangle diagram, write an equation for y in terms of ?.
Use this triangle for #1-2:
3. What is the value of a when the hypotenuse is 1 unit?
4. What is the value of b when the hypotenuse is 1 unit? Dont
forget to rationalize the denominator!
5. Apply your knowledge of 30-60-90 right triangles and identify the coordinates of point P.
6. Again, using your knowledge of 30-60-90 right triangles, identify the coordinates of point Q.
7. The cosine of 30° is ________. 8. The sine of 30° is ________.
9. The cosine of 60° is ________. 10. The sine of 60° is ________.
x
y 1
q
2a a
30°
60°
a
45°
45°
b
b
b
11. Using your knowledge of 45-45-90 right triangles, identify the coordinates of point R. _______
12. The cosine of 45° is ________.
13. The sine of 45° is ________.
Problem 2 Extending the Pattern Identify the coordinates of the following points in terms of a and b.
14. T __________
15. U __________
16. V __________
Identify the measure of the following angles.
17. ÐWOT = _________ 18. ÐWOU = _________
19. ÐWOV = _________
Convert the following to radians:
20. 30° = _________ 21. 45° = _________
22. 60° = _________
Without converting, identify the measures of the following angles in radians.
23. ÐWOT = _________ 24. ÐWOU = _________
25. ÐWOV
