Unit Circle and Trigonometric Functions
This page introduces the fundamental concepts of trigonometry, focusing on the unit circle and its relationship to trigonometric functions. The cercle trigonométrique (trigonometric circle) is presented as a key tool for understanding sine and cosine.
Definition: The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane.
The page displays a detailed diagram of the unit circle, marking important angles in both degrees and radians. This visual aid is crucial for understanding the relationship between angles and their trigonometric function values.
Highlight: Special angles such as 0°, 30°, 45°, 60°, and 90° are highlighted, along with their radian equivalents.
The diagram also shows the cosine and sine values for these special angles, providing a quick reference for students. This is particularly useful when solving trigonométrie 1ère exercices corrigés (trigonometry exercises with solutions for first-year students).
Vocabulary: Radian - a unit of angular measure defined by the ratio of the arc length to the radius of a circle.
The concept of radians is introduced, with π and its fractions used to express angles. This is essential for more advanced trigonometric calculations and is a key component of any cours complet de trigonométrie PDF (complete trigonometry course PDF).
Example: The angle π/6 radians is equivalent to 30°, and its sine value is 1/2.
The page also touches on the concept of the unit vector and its projections, which relate directly to the definitions of sine and cosine. This foundational knowledge is crucial for students progressing through their cours trigonométrie 1ère S PDF (trigonometry course PDF for first-year science students).
