RELATIONS BETWEEN THE TRIGONOMETRICAL RATIOS OF SOME ANGLES | |
Section: Geometry | |
1. COMPLEMENTARY ANGLES | |
Complementary angles add up to 90º. In the following window you can see angle B (in red) and its complementary angle, angle A (in green) |
|
1.- Change the size of
angle A and watch how its complementary angle also
changes size.
2.- What does the sine of angle A always coincide with? What about its cosine? 3.- Find a connection between the tangents of angle A and angle B. |
2. SUPPLEMENTARY ANGLES | ||
Supplementary angles add up to 180º. In the following window you can see angle B (in red) and its supplementary angle, angle A (in green). |
||
1.- Change the size of
angle A and watch how its supplementary angle also
changes size.
2.- What do the sine values of supplementary angles have in common? What about their cosine values? 3.- What's the relation between the tangents of supplementary angles? 4.- If an angle is found in the fourth quadrant which quadrant does its supplementary angle belong to? What about its complementary angle?
|
3. ANGLES WITH A DIFFERENCE OF p radians. | ||
In the following window you can see that there is a difference of p radians between angles A and B. |
||
1.- Change the size of angle A and watch how angle B also changes size. 2.- What do the sine values of angles A and B have in common? What about their cosine values? 3.- What's the relation between the tangents of angles A and B?
|
4. OPPOSITE ANGLES | |
In the following window you can see angle B (in red) and its opposite angle, angle A (in green). |
|
1.-
Change
the size of angle A and watch how its opposite angle
also changes size. 2.- What do the sine values of the opposite angles have in common? What about their cosine values? 3.- What's the relation between the tangents of two opposite angles?
|
Pedro Férez Martínez | ||
Spanish Ministry of Education. Year 2001 | ||
Except where otherwise noted, this work is licensed under a Creative Common License