Answer:
A numerical value of one trigonometric function of x, for the given function would be [tex]cos(x)=\frac{1}{3}[/tex]
Step-by-step explanation:
We know that there are many trigonometric functions, that can be expressed as functions of x, for example:
[tex]sin(x)[/tex]
[tex]cos(x)[/tex]
[tex]tan(x)[/tex]
[tex]cot(x)[/tex]
[tex]csc(x)[/tex]
So, the problem is aking us for one trigonometric function of x, but gives us a product of functions of x, instead of one function of x. We note then, that
[tex]cot(x)=\frac{cos(x)}{sin(x)}[/tex]
Therefore, we calculate from the given function
[tex]sin(x)*\frac{cos(x)}{sin(x)}=cos(x)=\frac{1}{3}[/tex]
wich is our answer, furthermore, we could calculate the value of x for this case
[tex]x=cos^-1(\frac{1}{3})\approx70.5[/tex]
