1. Unit 3: Right Triangle Trigonometry
Vocabulary Builder

2. Daily Agenda Hypotenuse Similar Triangles Square Root Simplest radical
form
leg
Variable
Pythagorean Theorem
Triangle
Triangle

3. Daily Agenda

4. Daily Agenda

5. Daily Agenda

6. Unit 3: Right Triangle Trigonometry
3.1 Trigonometric Ratios

7. 3.1 Trigonometric Ratios Daily Agenda square root perfect square
radical expression
radicand
perfect square

8. 3.1 Trigonometric Ratios Daily Agenda Example 2 5 8 14 30 18 23 𝟔 𝟐
𝟔 𝟐
2 𝟔
3 𝟏𝟏
3 𝟏𝟎
10 𝟑
𝟓 𝟑

9. 3.1 Trigonometric Ratios Daily Agenda right triangle equals hypotenuse
side lengths

10. 3.1 Trigonometric Ratios Daily Agenda Example 3 𝑥 2 + 3.9 2 = 11 2
13)
14)
15)
𝑥 = 11 2
= 𝑥 2
= 𝑥 2
16+64= 𝑥 2
36+9= 𝑥 2
𝑥 =121
𝑥 2 =105.79
80= 𝑥 2
45= 𝑥 2
𝑥=10.29
4 5 =𝑥
3 5 =𝑥

11. 3.1 Trigonometric Ratios
Daily Agenda
hypotenuse
adjacent
opposite

12. 3.1 Trigonometric Ratios
Daily Agenda
Example 4 𝑌𝑍 𝑋𝑌 𝑋𝑍

13. 3.1 Trigonometric Ratios
Daily Agenda
Example 5 𝐻𝑈 𝑈𝐼 𝐻𝐼

14. 3.1 Trigonometric Ratios Daily Agenda trigonometric ratio length right
SOH CAH TOA
length
right
acute

15. 3.1 Trigonometric Ratios
Daily Agenda

16. 3.1 Trigonometric Ratios Daily Agenda SOH CAH TOA Example 6 𝑂𝑃𝑃 𝐴𝐷𝐽
= 20 15
= 4 3
𝑂𝑃𝑃 𝐴𝐷𝐽
= 16 30
= 8 15
𝑂𝑃𝑃 𝐴𝐷𝐽
= 14 48
= 7 24
𝑂𝑃𝑃 𝐻𝑌𝑃
= 15 25
= 3 5
𝑂𝑃𝑃 𝐻𝑌𝑃
= 30 34
= 15 17
𝐴𝐷𝐽 𝐻𝑌𝑃
= 48 50
= 24 25

17. 3.1 Trigonometric Ratios Daily Agenda Example 7 = 11 29 = 11 29
= 25 29
= 25 11
= 18 7 =1

18. Simplify each radical
√ √300
√ √90
3. √ √75

19. Use Pythagorean Theorem to solve for missing sides.8. 9.

20. Write the requested trig ratio
sin B = sin G = sin D = cos B = cos G = cos D = tan B = tan G = tan D = sin C = sin H = sin F = cos C = cos H = cos F = tan C = tan H = tan F =