How to draw graphs for trigonometric function ?
Please do explain in brief.
Graphing a trigonometric function is actually pretty easy if you know what numbers to look at.
Recall that a trigonometric function (trig function) is simply a mathematical function of an angle.
There are three basic trig functions :
- sine function
- cosine function
- tangent function
There are also three inverse functions :
- cosecant function - reciprocal of the sine function
- secant function - reciprocal of the cosine function
- cotangent function - reciprocal of the tangent function.
To graph these functions, it's helpful to know what their basic graphs look like without any additional numbers changing the graph :
Graph of sin x
Graph of cos x
Graph of tan x
Now, you can use the properties of trigonometric functions to help you graph any one. This is because all trigonometric functions follow the same rules.
Take the standard trigonometric function :
f (x) = A trig (Bx - C) +D
where
A is amplitude
Phase shift is given by C / B
Vertical shift is given by D
Regards