Question

Given that cosθ=x/6

Answer 1

Answer:

Option  C is correct.

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

Step-by-step explanation:

Given the expression: $\cos \theta = \frac{x}{6}$

We have to find the expression which represents $\theta$ in terms of x.

Taking both sides in [1] arc cos we have;

$\cos^{-1}(\cos \theta) = cos^{-1} (\frac{x}{6} )$

$(\cos^{-1}\cos) \theta = cos^{-1} (\frac{x}{6} )$

Simplify:

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

Therefore, the expression represents $\theta$ in terms of x is, $\theta = arc\cos(\frac{x}{6})$