Trigonometric Angles of 300 450 600
Trigonometry uses unique
angles of 30, 45, 60 degrees in special situations.
These angles are special in
that they are of an irrational value.
The Equilateral Triangle and Square allow for the determination
of these special Co-Function
Relations for Trigonometric Functions.
Co-Function
Relation can be viewed as a Complementary Relation.
Sin A + Csc A
= 900
300 300
2 2
Ö 3
600
600
1 1
a2
+ b2 = c2 12
+ b2 = 22 b2
= 3 b = Ö 3
1
450
Ö
2
1 1
450
1
a2
+ b2 = c2 12
+ 12 = c2 c2
= 2 c = Ö 2
|
Co-Function
Relation Table |
|||
|
|
300 |
450 |
600 |
|
Sin |
1/2 |
1/Ö 2 |
Ö
3/2 |
|
|
Ö
3/2 |
1/Ö 2 |
1/2 |
|
Tan |
1/Ö 3 |
1 |
Ö
3/1 |
|
Cot |
Ö 3 |
1 |
1/Ö 3 |
|
Sec |
2/Ö 3 |
Ö 2 |
2 |
|
Csc |
2 |
Ö 2 |
2/Ö 3 |