Pythagorean Theorem and Basic Trigonometric Functions
This page introduces the fundamental concepts of trigonometry, starting with the Pythagorean theorem. It presents a right-angled triangle and demonstrates how to calculate the length of the hypotenuse using the theorem a² + b² = c². The page then proceeds to explain how to determine the funkcje trygonometryczne kąta ostrego w trójkącie prostokątnym.
Definition: The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of squares of the other two sides.
Example: For a right-angled triangle with sides 6 and 8, the hypotenuse is calculated as √62+82 = √100 = 10.
The page provides a step-by-step guide to calculating trigonometric functions for angles α and β in a right-angled triangle. It shows how to determine sine, cosine, tangent, and cotangent using the ratios of the triangle's sides.
Highlight: The formulas for basic trigonometric functions in a right-angled triangle are:
sin α = opposite / hypotenuse
cos α = adjacent / hypotenuse
tan α = opposite / adjacent
cot α = adjacent / opposite
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