tan x graph explained

tan x graph explained Analyzing the Graph of y tan x Graphing Variations of y tan x Graphing One Period of a Stretched or Compressed Tangent Function Graphing One Period of a Shifted Tangent Function Analyzing the Graph of y

It can also be expressed as the reciprocal of the cotangent function Mathematically tan function is written as f x tan x Further in this article we will explore the tangent function graph its domain and range the trigonometric identities of tan x and the formula of the tangent function The tan graph is a visual representation of the tangent function for a given range of angles The horizontal axis of a trigonometric graph represents the angle usually written as theta and the y y axis is the tangent function of that angle repeats every 180 o 180o Not a continuous curve Vertical asymptotes at 90 o pm

tan x graph explained

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tan x graph explained
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The graph of a tangent function y tan x is looks like this Properties of the Tangent Function y tan x Domain x x 2 n where n is an integer Range y intercept 0 0 x intercept n where n is an integer Period Symmetry origin odd function Amplitude and Period of a Courses on Khan Academy are always 100 free Start practicing and saving your progress now khanacademy math algebra2 x2ec2f6f830c9fb89 trig

Learn how to graph the tangent graph in this free math video tutorial by Mario s Math Tutoring We go through a simple and direct approach to finding the period vertical stretch and What is a tangent function The tangent function is a mathematical function with equation y tan x When this is plotted on a graph it gives a visual representation of the tangent

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To graph the tangent function we mark the angle along the horizontal x axis and for each angle we put the tangent of that angle on the vertical y axis The result as seen above is rather jagged curve that goes to positive infinity in one direction and negative infinity in the other Below is a graph of y tan x showing 3 periods of tangent In this graph we can see that y tan x exhibits symmetry about the origin Reflecting the graph across the origin produces the same graph This confirms that tangent is an odd function since tan x tan x General tangent equation The general form of the

The diagram shows a graph of y tan x for 0 x 360 determine the values of p q and r Solution We know that for a tangent graph tan 1 when 45 and 225 So b 45 We know that for a tangent graph tan 0 when 0 180 and 360 So c 180 To graph the tangent function find the value of tangent at major quadrantal angles first These angles are the angles of the unit circle that lie on the x and y axes Specifically they are 0 2 3 2 and all angles coterminal with them

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tan x graph explained - Purplemath On the previous page we examined how the sine and cosine ratios for right triangles can be expanded via the unit circle to being full fledged graphable functions The next trigonometric ratio we ll consider is the tangent ratio But the tangent s values are difficult to display on the unit circle