Domain Of A Cosecant Graph
Remember our basic three trigonometric functions are.
Domain of a cosecant graph. A sketch of the sine function. Draw the vertical asymptotes through the x intercepts as the following figure shows. Find the magnitude of the trig term by taking the absolute value of the coefficient.
Set builder notation for any integer. The domain is all values of that make the expression defined. Cosecant graph has period of length 2 pi.
Graph the cosecant function sketch the graph of y sin x from 4π to 4π as shown in this figure. Cosecant function is the reciprocal of the sine function. Because cosecant is the reciprocal its graph gets bigger in the negative direction.
Cosecant s asymptotes start at 0 and repeat every pi. The lower bound of the range for cosecant is found by substituting the negative magnitude of the coefficient into the equation. The domains of cosecant and secant are restricted you can only use the functions for angle measures with output numbers that exist.
Find the domain and range of the graph. X r and x 2n 1 π 2 n z domain of cosecant. The domain of y sin x and y cos x is the set of real numbers.
In this video lesson we talk about the graphs of the three other trigonometric functions of cosecant secant and cotangent. In trig speak the rule looks like this in degrees. Domains of cosecant and secant.