What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable. In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
We need to find the frequency of given function;
f(x)=1/4 cos(2x)+5
To finding the period and then use the general relation frequency
frequency = 1/period
In the given function f(x)=1/4 cos(2x)+5 here, only the constant 2 which will multiply with x effects the period.
As we know that 2π is the period of cosx then the period of cos(2x) is
2x=2π
x=π
So, the period of cos(2x) is π
Now the frequency is F=1/π&