Answer:
Please refer to the attached figure.
Step-by-step explanation:
Given the function:
[tex]f(x) =cosx \ where\ \{0^\circ\leq x\leq 360^\circ\}[/tex]
OR, the given function can also be written as:
[tex]y = f(x) = cosx[/tex]
We know that graph of cosine is a wave.
and the range of cosine function is [-1, 1]
First of all, let us have a table of values at major values of x.
[tex]x = 0, f(x) = 1\\x = 90, f(x) = 0\\x = 180, f(x) = -1\\x = 270, f(x) = 0\\x = 360, f(x) = 1[/tex]
So, the table of values for f(x) is:
[tex]\begin{center}\begin{tabular}{ c c }x & cosx \\0 & 1 \\90 & 0\\180 & -1\\270 & 0\\360 & 1\\\end{tabular}\end{center}[/tex]
Let us mark these points on the xy coordinate axis where x axis represents value of x and y axis represents value of [tex]f(x) = cosx[/tex] and then join the points using a wave.
Please refer to the attached graph for the answer image.
