Domain And Range Of A Tan Graph

Add π 2 to all terms of the double inequality above and simplify.

Domain and range of a tan graph. The range is the set of possible output values which are shown on the y axis. In reference to the coordinate plane tangent is y x and cotangent is x y. Domain of sin x and cos x in any right angle triangle we can define the following six trigonometric ratios.

ˇ domain range and de nition of the three main inverse trigonometric functions. The graph of y sin x is symmetric about the origin because it s an odd function. The organic chemistry tutor 852 509 views.

The domains of both functions are restricted because sometimes their ratios could have zeros in the denominator but their ranges are infinite. 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. Plus minus pi over 2 3pi over 2 etc.

All real numbers r except pi 2 k pi k is an integer. Since tan x tan x then tan x is an odd function and the graph of tanx is symmetric with respect to the origin. Cos 1 x means cos xwhen 1 x 1 and 0 ˇ 3.

Because the domain refers to the set of possible input values the domain of a graph consists of all the input values shown on the x axis. Find the domain and range y tan x y tan x y tan x set the argument in tan x tan x equal to π 2 πn π 2 π n to find where the expression is undefined. The domain is all values of x x that make the expression defined.

X π 2 πn x π 2 π n for any integer n n. The sine functions have several distinct characteristics. So the domain of the tan function is the set of all real numbers except 90 90 270 270 etc.