WebSimilar to the secant, the cosecant is defined by the reciprocal identity csc x = 1 sin x. csc x = 1 sin x. Notice that the function is undefined when the sine is 0, leading to a vertical asymptote in the graph at 0, 0, π, π, etc. Since the sine is never more than 1 in absolute value, the cosecant, being the reciprocal, will never be less than 1 in absolute value. WebMar 26, 2016 · Letting t be the day of the year (from 1 to 365), you can figure the number of hours of sunlight, H, if you enter a value for t in the equation H ( t) = 2.4 sin (0.017 t – …
Graphing the Cosecant, Secant & Cotangent Functions
WebGraphs of the Six Trigonometric Functions Note that sin , csc , tan and cot functions are odd functions ; we learned about Even and Odd Functions here . As an example, the sin graph is symmetrical about the origin \((0,0)\), meaning that if \((x,y)\) is a point on the function (graph), then so is \((-x,-y)\) . WebJan 2, 2024 · The secant and cosecant are both periodic functions with a period of 2π. f(x) = Asec(Bx − C) + D gives a shifted, compressed, and/or stretched secant function graph. See Example 6.2.4 and Example 6.2.5. f(x) = Acsc(Bx − C) + D gives a shifted, compressed, and/or stretched cosecant function graph. phoenix suns schedule this week
5.1: Graphing the Trigonometric Functions - Mathematics …
WebThe cosecant's pattern repeats over the same length as does the sine, so the cosecant shares the sine's period of 2π. But, just as with the tangent (and its vertical asymptotes), the concept of "amplitude" doesn't apply to the cosecant. Note: Don't be afraid to lightly pencil in the sine graph (like I did above) before drawing your cosecant graph. WebWhen graphing reciprocal trigonometric functions, first find the values of the original trig function. Take the reciprocal of each value and plot the ordered pair in the coordinate plane. This lesson shows how to graph … WebApr 27, 2024 · What is CSC Trig? Cosecant (csc) – Trigonometry function In a right triangle, the cosecant of an angle is the length of the hypotenuse divided by the length … phoenix suns schedule playoff