Y Tan X Domain And Range
This is a little bit harder to prove but just think about what happens as you get close to x kpi 2.
Y tan x domain and range. The range of the tangent function is all real numbers. 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. X k pi where k is an integer. The range is just as you said negative infinity to infinity.
Y 0 symmetry. Since tan x tan x then tan x is an odd function and its graph is symmetric with respect the origin. Domain of tan x all real numbers except x kpi 2 where k is any integer except zero. The domain is all real numbers as tanx along the y axes goes up to positive infinity and down to negative infinity.
Set builder notation for any integer. Find the domain and range y tan x set the argument in equal to to find where the expression is undefined for any integer. F x tan x graph. The domain of the function y tan x is all real numbers except the values where cos x is equal to 0 that is the values π 2 π n for all integers n.
All real numbers except pi 2 k pi k is an integer. The range of tangent is all real numbers. Domain of sin x and cos x in any right angle triangle we can define the following six trigonometric ratios. All real numbers period pi x intercepts.