We can easily draw graph of function f(t)=2 cos(-4t) by plotting points (0,2),(3π/2,-2)(π,2)(π/2,2).
What is function?
Function is a relationship between two or more variables expressed in equal to form whos each value of x have value of y. Values of x is called domain of the function. Values of y is called codomain of function.
How to make graph of function?
To make graph of function f(t)=2 cos(-4t) we have to first find the points which lie on the graph.
Put the value of t=0 then f(0)=2 cos(0)
=2 *1
=2
Put the value of t=3π/2 then f(3π/2) then f(3π/2)=2 cos(-4*3π/2)
=2cos (-6π)
=2*-1
=-2.
Put the value of t=π then f(π)=2 cos(-4π)
=2*1
=2
Put the value of t=π/2 then f(π/2)=2 cos(-4*π/2)
=2 cos(-2π)
=2*1
=2
We have to put the points (0,2),(3π/2,-2)(π,2)(π/2,2) and we will get the graph of f(t)=2 cos (-4t)
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