1. Unit 3: Right Triangle Trigonometry
3.2 Finding Sides and Angles of Right Triangles

2. 3.2 Missing Sides and Angles
Daily Agenda
functions
angle
input
output

3. 3.2 Missing Sides and Angles
Daily Agenda x x x
sin 𝑅 = 𝑂𝑃𝑃 𝐻𝑌𝑃
cos 𝐶 = 𝐴𝐷𝐽 𝐻𝑌𝑃
sin 𝐻 = 𝑂𝑃𝑃 𝐻𝑌𝑃
sin 19° = 𝑥 11
cos 46° = 19.2 𝑥
sin 34° = 11 𝑥
𝑥= cos 46°
11∙ sin 19° =𝑥
𝑥= 11 sin 34°
3.58=𝑥
𝑥=27.64
𝑥=19.67

4. 3.2 Missing Sides and Angles
Daily Agenda
Example 2 x
tan 26° = 𝑂𝑃𝑃 𝐴𝐷𝐽
tan 50° = 𝑂𝑃𝑃 𝐴𝐷𝐽
tan 20° = 𝑂𝑃𝑃 𝐴𝐷𝐽
14.63=𝑥
𝑥=15.49
𝑥=6.92

5. 3.2 Missing Sides and Angles
Daily Agenda
sin-1
cos-1
tan-1
Example 3
𝑡𝑎𝑛 𝑥 = 5 5
𝑡𝑎𝑛 𝑥 = 5 12
𝑐𝑜𝑠 𝑥 = 40 42
𝑡𝑎𝑛 𝑥 =1
tan − =𝑥
cos − =𝑥
tan −1 1 =𝑥
22.6°=𝑥
17.8°=𝑥
45°=𝑥

6. 3.2 Missing Sides and Angles
Daily Agenda
Example 4
cos − =𝑥
cos − =𝑥
sin − =𝑥
57.6°=𝑥
55.7°=𝑥
35.5°=𝑥