1. Unit 7: Right Triangle Trigonometry
Hypotenuse
Adjacent Leg
Opposite Leg
“SOH” – “CAH” – “TOA”
Standard Trig Functions
Reciprocal Trig Functions
SOH:
CAH:
TOA:

2. Finding Exact Trig Values #1: 30°- 60° - 90°2

3. Finding Exact Trig Values #2: 45° - 45° - 90°1
45° 2

4. Example 1: Find Trigonometric Values5 3 4

5. Example 1: Continued 7
[C]
[B] 13 24 25 5 12

6. Example 2 : Use one Trig Ratio to find others
If , find
[B]
If , find

7. Example 2 : continued
[C]
If , find
[D]
If , find

8. Example 3: Find missing exact sides of Right Triangles
Calculator Free – Determine appropriate trig function to use
[A] 8
30° x
[B]
60° x 12

9. Example 3: Continued
[C]
[D]
45°
45° 10 12 x x

10. Example 4 Solve a Triangle (Find all lengths and angles)
[A] Solve triangle ABC. Round lengths to the nearest tenth.
Angles
A =
B =
C =
Sides
a =
b =
c = C
35° 10 A B

11. Example 5: Solve a Triangle with Missing Angle
Solve triangle ABC. Round lengths to the nearest tenth.
Angles
A =
B =
C =
Sides
a =
b =
c = 5 A B C 12

12. Example 6 Angle of Elevation and Depression
Line of Sight
Line of Sight