63,820 views
Math lesson on trigonometric functions of an angle: definition of sine and cosine inside a trigonometric circle. ???????? TRAIN FOR TOLC-I WITH IngeniusTest ????♂️ ???? https://links.supermat.it/yt_ingenius Subscribe to the Supermat channel so you don't miss the next adventures on trigonometric functions: ????https://links.supermat.it/yt_sub Trigonometric functions take an oriented angle as input, whose measure is usually expressed in radians, and return a real number as output. ????https://links.supermat.it/intro_gonio... The study of trigonometric functions, and consequently that of the sine and cosine functions of an angle, has always put many high school and/or university students in crisis, given the periodicity of the measure of angles, and the fact that these can be both positive and negative. ????https://links.supermat.it/misura_degl... All trigonometric functions, except the secant and cosecant, are defined geometrically starting from the trigonometric circle in the Cartesian plane: a circle with center in the origin of the Cartesian axes and unit radius. The trigonometric functions sine and cosine describe, respectively, the ordinate and the abscissa of a generic point P belonging to the trigonometric circle, as the given angle varies. Precisely for this reason, if it is true that the sine and cosine functions can receive any real number as input, as output they can only and exclusively return values between 1 and -1 or equal to them. Finally, let's remember that the trigonometric functions sine and cosine of an angle describe the coordinates of a generic point P of the trigonometric circle and therefore must satisfy its equation: we thus obtain the first fundamental relation of trigonometry. #supermat #sine #cosine -------------------------------------------------------------------- 00:00 ▶︎Trigonometric Functions: Explanation 01:32 ▶︎ Trigonometric Circumference 03:30 ▶︎ Trigonometric Functions of an Angle 05:46 ▶︎ Trigonometric Functions: Sine and Cosine 09:24 ▶︎ Domain and Codomain 11:17 ▶︎ Period of Trigonometric Functions 13:35 ▶︎ First Fundamental Relationship of Trigonometry --------------------------------------------------------------------- ✉️ Study with me: ● [email protected] ???? Follow me on: ● Instagram - / supermat.it ● Facebook - / supermat.it ???? Find out who Supermat is: ● https://supermat.it/matteo-bordoni/ ???? Equipment I use for videos: ● iPhone 8 Plus ???? https://amzn.to/31TF5WX ● Rode Wireless GO ???? https://amzn.to/2S9YXiu ● Light Set ???? https://amzn.to/2VP57qo ● Manfrotto Compact Action Smart ▶︎ https://amzn.to/2ZYWICf