Y Csc X Domain And Range

The ratios of the cosecant and secant functions on the coordinate plane r y and r x have the hypotenuse r in the numerator because r is always positive and greater than or equal to x and y these fractions are always improper greater than 1 or equal to 1 the ranges of these two functions never include proper fractions numbers.

Y csc x domain and range. The brain activity recorded with this machine is shown in the three graphs. Ranges of cosecant and secant. Or any odd multiple of. Domain and range of inverse cosecant function.

So secx can only take. Y 1 uu y 1 or y oo 1 uu 1 oo y sec x or y 1 cosx. To make the students to understand domain and range of a trigonometric function we have given a table which clearly says the domain and range of trigonometric functions. The properties of the 6 trigonometric functions.

Set builder notation for any integer. Find the domain and range y csc x 1. Domain of sin x and cos x in any right angle triangle we can define the following six trigonometric ratios. X in rr x npi pi 2 range.

Sin x cos x tan x cot x sec x and csc x are discussed. Domain of y csc x is x inrr x ne pi n n inzz. Set the argument in equal to to find where the expression is undefined for any integer. Since the range of y sin x is 1 y 1 we get that the range of y csc x is y 1 or y 1 which encompasses the reciprocal of every value in the range of sine.

Find the magnitude of the trig term by taking the absolute value of the coefficient. The domain is all values of that make the expression defined. Find the magnitude of the trig term by taking the absolute value of the coefficient. Cosine function only takes values that are between 1 and 1.

The range of sec 1 x is all the angles between 0 and 180 degrees except for 90 degrees meaning all angles in quadrants i and ii with the exception of 90 degrees or. X in rr x npi pi 2 range. Set builder notation for any integer. Sec x is undefined at cosx 0 cos npi pi 2 0.

Find the domain and range y csc x set the argument in equal to to find where the expression is undefined for any integer. These include the graph domain range asymptotes if any symmetry x and y intercepts and maximum and minimum points. Scientists record brain activity by attaching electrodes to the scalp and then connecting these electrodes to a machine. The domain of csc 1 x or arccsc x is the same as that.

Y csc x is the reciprocal of y sin x so its domain and range are related to sine s domain and range. A table of domain and range of common and useful functions is presented. Table of domain and range of common functions. Range of y csc x is y 1 or y 1.