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Q: What calculation is different in finding missing side lengths and angle measures in a right triangle using the trigonometric functions?
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Why do similar triangles have the same trigonometric ratios?

Trigonometric ratios are characteristics of angles, not of lengths. And, by definition, the corresponding angles an similar triangles have the same measures.


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The word, trigonometry" is derived from trigon = triangle + metry = measurement. It is based on the study of angles of a triangle and their properties. Although trigonometric ratios are often introduced to students in the context of triangles, their properties for all angles.For example, trigonometric functions are well defined for angles with negative values as well as for more than 180 degrees even though no triangle can possibly have angles with such measures.


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