Domain And Range Of Y Cot X

1 answer jim h sep 18 2017 see below.

Domain and range of y cot x. The domain is all values of that make the expression defined. Range is 0. The domain of the expression is all real numbers except where the expression is undefined. Find the domain and range y sec x set the argument in equal to to find where the expression is undefined for any integer.

In reference to the coordinate plane tangent is y x and cotangent is x y the domains of both functions are restricted because sometimes their ratios could have zeros in the denominator but their ranges are infinite. Y cot 1 x cot x becomes undefined for the two corner values 0 and π. What is the domain and range of y cos 1 x. So we can not consider 0 as a part of the range of.

By mary jane sterling. So we can ignore case 2 and consider case 1. The tangent and cotangent are related not only by the fact that they re reciprocals but also by the behavior of their ranges. Find the domain and range y cot x y cot x y cot x set the argument in cot x cot x equal to πn π n to find where the expression is undefined.

In this case there is no real number that makes the expression undefined. When we consider case 1 we get the interval 0 π as range of y cot 1 x even though we get the interval 0 π as range of. Find the magnitude of the trig term by taking the absolute value of the coefficient. Y cot 1 x.

Set builder notation for any integer. X πn x π n for any integer n n. In this case there is no real number that makes the expression undefined. Find the domain and range y x 2.

Find the domain and range y cos x y cos x y cos x the domain of the expression is all real numbers except where the expression is undefined. Domain is 1 1 and the.