MATH 111 Lecture Notes - Lecture 2: Farad, Coefficient, Trigonometric Functions
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1476- lecture 2- essential functions, changing functions and graphing functions. 1. 2: mathematical models: a catalog of essential functions. Some essential functions: linear y= ax +b polynomial p(x) = anxn + an-1xn+1+ a1x+ a0 leading coefficient =/= 0 power rational algebraic trigonometric f(x) = xa f(x) = p(x) Q(x) it can be constructed with algebraic functions (+, , x, /, , ) f(x) = sin x, cos x, tan x, cot x, sec x, csc x a is a constant where p(x) and q(x) are polynomials logarithmic f(x) = log a x a is a constant. Measured counterclockwise from the right horizontal axis. If measured clockwise, the measurement is negative. The distance between the origin and the point is r. Angles are usually measured in radians, and the variable is used. 1 + cot 2 = csc 2 . Sin ( + 2 ) = sin . Trigonometric functions repeat after a full circle (2 or 360 )