1. Trigonometry Chapters 8.2 - 8.3

2. 45-45-90 Theorem

3. The opposite sides of a 45-45-90 triangle are the same length Using the Pythagorean theorem we find the hypotenuse is always n times the square root of 2

4. 45-45-90 Theorem What is the length of the hypotenuse

5. 45-45-90 Theorem What is the length of the hypotenuse

6. 45-45-90 Theorem What is the length of the sides?

7. 45-45-90 Theorem What is the length of the sides? Remember, the hypotenuse is  2 times a side

8. Divide by  2 Rationalize the Denominator

10. 30-60-90 Theorem

11. The opposite of the 30 0 angle is n

12. 30-60-90 Theorem The opposite of the 60 0 angle is n  3

13. 30-60-90 Theorem The opposite of the right angle is 2n

14. 30-60-90 Theorem Find the lengths of the other two sides

15. 30-60-90 Theorem Find the lengths of the other two sides

16. 30-60-90 Theorem Find the lengths of the other two sides

17. 30-60-90 Theorem Find the lengths of the other two sides

18. 30-60-90 Theorem Find the lengths of the other two sides First find the length of side opposite the 30

19. 30-60-90 Theorem Call the side x x times  3 = 8

21. 30-60-90 Theorem Hypotenuse is 2 times the side opposite the 30 0 angle

22. Trigonometry Trigonometric Ratios- – Similar right triangles have equivalent ratios for its corresponding sides

23. Sine Sine of óB =

24. Sine Sine of óB =

25. Sine Sin B =

26. Cosine Cosine of óB =

27. Cosine Cosine of óB =

28. Cosine Cos B =

29. Tangent Tangent of óB =

30. Tangent Tangent of óB =

31. Tangent Tan B =

32. Trigonometry How to remember the order: Sin x = Cos x = Tan x =

33. Trigonometry Find the sine, cosine, and tangent ratios of ó B

34. Sin B = Cos B = Tan B =