Graph is a representation of function which describes a relationship among two parameters of a function. Different kinds of graphs are straight line graph, sine, cosine, parabolic, line graph.
Let’s consider a line which is given by following equation and its graph is plotted as shown below.
y = m x. This equation shows a relationship between 'x' and 'y'. 'm' is the Slope of graph.
Angle is measure of inclination. Endpoint of two lines is called as vertex of angle.
Graphs of trigonometric Functions (sin, cosine or Tangent) can be represented in degrees or in radians.
Let’s try to understand how to graph tangent.
We know that tangent has a Period of π (180 °) and each period is isolated by a vertical Asymptote.
When we draw graph of tangent function, then it can be noticed that graph has a completely different shape than many graphs. Graph of tangent is plotted between ‘–‘ and ‘+’ infinity. This graph passes through origin of system.
For angle, π/2 radians (also for -π/2, 3π/2 etc) function is undefined.
Lets consider a tangent function as shown below:
y = tan (x). Graph for this tangent function can be drawn as:
It is clear from above graph that one cycle is occurring between + (π / 2) and – (π / 2). Vertical asymptote occurs at each end of period function hence there is no amplitude since graph approaches infinity. This asymptote repeats every unit. This graph can be plotted for negative infinity to positive infinity.