Graph of Tanx

The tanx mean that the slope of function.that is tanx = sinx/cosx or rise/run.We know that tanx = sin x/cosx, tanx can be defined for all the values of x for which cosx ≠ 0.I.e. All the real numbers except odd integer multiples of π/2 (tanx is not obtained for cosx = 0 and hence not defined for x, an odd multiple of π/2).

More about Graph of Tanx:

Tangent Function Graph(y =tanx):

• In a graph of tanx 1 cycle takes place between the -90 degree to 90 degree.
• Each cycle contains are vertical asymptotes at the end.
• The period of tanx is `Pi`
• Tanx has no amplitude. That is graph that goes infinitely in vertical direction.
• The range(R) of the function tanx = ( - `oo` ,`oo`
• The domain of the function tanx is R - {(2k+1)`pi`
• The tanx is undefined at the value of x = 90° and x = 270°.
• The tanx graph crosses the x-axis three times in the interval
• 0° ≤ x ≤ 360°. At x = 0°, x = 180°, and x = 360°, tanx = 0.
• The maximum value of the function  tanx is `oo`
• The minimum value of the function  tanx is −`oo`

Consider the table for tanx between 0 to 180 degree

Graph:

The following graph shows the tanx function.

    


Problems Based on Graph of Tanx:

1.Sketch the graph for the function  y=10tant.

Graph:

Given y = 10 tant.

That is the radius of the circle is 10.The graph can be drawn by using the circle with radius 10.Let us see step by step process.





Problem 2:

Draw the graph for the function y = 25 tan t

Graph:



Practice Problem for Graph of Tanx:

1.Sketch the graph for the function y =17 tanx  by using the graphing calculator.

2.Sketch the graph for the function y =40 tanx  by using the graphing calculator.

3.Sketch the graph for the function y =33 tanx  by using the graphing calculator.