Math Lesson on Trigonometric Functions of an Angle: explanation of the Tangent and Cotangent of an Angle. ????‍???? TRAIN FOR THE TOLC-I WITH IngeniusTest ????‍♂️ ???? https://links.supermat.it/yt_ingenius Trigonometric functions of an angle are those mathematical functions that take an angle as input (measured in radians or sexagesimal degrees) and that return a real number as output, which has a very precise geometric meaning (on the trigonometric circumference). ????https://links.supermat.it/misura_degl... Trigonometric functions are certainly among the most difficult mathematical functions to understand and study, given their periodicity. ????https://links.supermat.it/intro_gonio... In a previous math video lesson we saw the trigonometric functions sine and cosine, defined inside a trigonometric circle. ????https://links.supermat.it/def_seno_co... But instead, how are the trigonometric functions tangent and cotangent, of a certain angle, defined? And how are they related to the trigonometric functions sine and cosine? And why do we only find the buttons to calculate sine, cosine and tangent on the scientific calculator? The tangent trigonometric function of an angle is geometrically defined starting from the vertical line tangent to the trigonometric circle. And it is related to the trigonometric functions sine and cosine through the second fundamental relation of trigonometry: tan(x) = sin(x)/cos(x). The cotangent trigonometric function of an angle is instead defined starting from the horizontal tangent to the trigonometric circle. In this second case, the connection with the trigonometric functions sine and cosine is given by the third fundamental relation of trigonometry: cot(x) = cos(x)/sin(x). Consequently, given the definition of the two new trigonometric functions tangent and cotangent, we can conclude that there is also a very close relationship between these two, one being the reciprocal of the other. The period of the tangent and cotangent trigonometric functions is halved with respect to that of sine and cosine: in fact, their period is equal to π radians or 180° degrees, if you like. That is, the tangent and cotangent functions repeat themselves equal to themselves every half turn of the trigonometric circumference. #supermat #mathematics #tangent -------------------------------------------------------------------- 00:00 ▶︎ Trigonometric Functions: Tangent and Cotangent 00:44 ▶︎ What does the Tangent correspond to? 02:34 ▶︎ Relationship between Sine Cosine and Tangent 07:08 ▶︎ Known Values ​​and Domain of the Tangent 11:34 ▶︎ What is Cotangent equal to? 13:37 ▶︎ Relationship between Sine Cosine and Cotangent 16:27 ▶︎ Known Values ​​and Domain of Cotangent --------------------------------------------------------------------- ✉️ 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