Question

Given that cos 0 = x/6

Answer 1

Answer:

The expression that represents $\theta$ is

$\theta=arccos(\frac{x}{6})$

Step-by-step explanation:

The trigonometric equation given to us is

$cos(\theta)=\frac{x}{6}$

We take the cosine inverse of both sides to obtain,

$arccos(cos(\theta))=arccos(\frac{x}{6})$

Recall that, the composition of a function of x and its inverse produces x.

That is $f(f^{-1}(x))=x$ or

$f^{-1}(f(x))=x$

Similarly, $arccos(cos(\theta))=\theta$

This implies that,

$\theta=arccos(\frac{x}{6})$

The correct answer is C.