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RELATIONS BETWEEN THE TRIGONOMETRICAL RATIOS OF SOME ANGLES |
| Section: Geometry | |
| 1. COMPLEMENTARY ANGLES | |
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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) |
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| 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. |
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| 2. SUPPLEMENTARY ANGLES | ||
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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). |
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| 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?
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| 3. ANGLES WITH A DIFFERENCE OF p radians. | ||
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In the following window you can see that there is a difference of p radians between angles A and B. |
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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?
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| 4. OPPOSITE ANGLES | |
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In the following window you can see angle B (in red) and its opposite angle, angle A (in green). |
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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?
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| Pedro Férez Martínez | ||
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| Spanish Ministry of Education. Year 2001 | ||

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