Download Example 1

Unit 7: Right Triangle Trigonometry
“SOH” – “CAH” – “TOA”

Adjacent Leg
Standard Trig Functions
Reciprocal Trig Functions
SOH:
csc 
CAH:
sec 
TOA:
cot  
Finding Exact Trig Values #1: 30°- 60° - 90°
60°
2
1
30°
3
sin 30 
sin 60 
cos 30 
cos 60 
tan 30 
tan 60 
Finding Exact Trig Values #2: 45° - 45° - 90°
1
45°
2
2
45°
2
45°
45°
1
2
sin 45 
cos 45 
tan 45 
Example 1: Find Trigonometric Values
[A]
5

3
4
sin 
csc 
cos  
sec 
tan 
cot  
Example 1: Continued
[B]
[C]
13

sin 
25
5
12
csc 
cos  
sec 
tan 
cot  

7
24
sin 
csc 
cos  
sec 
tan 
cot  
Example 2 : Use one Trig Ratio to find others
2
[A] If cos  
, find
5
sin  ?

cot   ?
[B] If tan 
5 , find
3
csc  ?
cos  ?

Example 2 : continued
6
[C] If sin 
, find
7
cos  ?
csc  ?
3
[D] If cot   , find
4
sec  ?
sin  ?
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
Example 3: Continued
[C]
[D]
x
45°
12
45°
10
x
Example 4 Solve a Triangle (Find all lengths and angles)
[A] Solve triangle ABC. Round lengths to the nearest tenth.
C
35°
10
A
B
Angles
Sides
A=
a=
B=
b=
C=
c=
Example 5: Solve a Triangle with Missing Angle
Solve triangle ABC. Round lengths to the nearest tenth.
C
5
A
12
B
Angles
Sides
A=
a=
B=
b=
C=
c=
Example 6
Angle of Elevation and Depression
Line of Sight

  Angle of Depression
  Angle of Elevation

Line of Sight