Transcript 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