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Sections

Introduction to Trigonometry

Pick a section. You read the idea first, then answer questions on it.

1. Ratios of a right triangle1 ideaRead
2. Before you start1 ideaRead
3. The three ratios of an acute angle1 ideaRead
4. Reciprocal and quotient ratios1 ideaRead
5. Pythagoras’ theorem1 ideaRead
6. The ratios depend only on the angle1 ideaRead
7. The ratios are bounded1 ideaRead
8. From one ratio to every ratio1 ideaRead
9. Ratios at 0 and 90 degrees1 ideaRead
10. The standard-angle table1 ideaRead
11. One ratio value, one angle1 ideaRead
12. The Pythagorean trigonometric identity1 ideaRead
13. Two more identities from one1 ideaRead
14. Any one ratio gives the rest, algebraically1 ideaRead
15. Assuming the identity you are proving1 ideaRead
16. Sine notation is not multiplication1 ideaRead
17. All six ratios from one1 ideaRead
18. Verifying the identity numerically1 ideaRead
19. Using the table to find two sides1 ideaRead
20. Checking that 2 sin A cos A = 1 when tan A = 11 ideaRead
21. Cosine and tangent, from sine alone1 ideaRead
22. Proving an identity without circularity1 ideaRead
23. Recap1 ideaRead
24. Where you will meet this1 ideaRead
25. Practice set: Exercise 8.11 ideaRead
26. Practice set: Exercise 8.21 ideaRead
27. Practice set: Exercise 8.31 ideaRead