Answer: [tex]\theta = cos^{-1}(x^6)[/tex] or [tex]\theta = arc\ cos (x)^6[/tex].
Step-by-step explanation:
We are given equation [tex]cos\theta =x^6 .[/tex]
We need to write θ in terms of x.
In order to convert θ in terms of x, we need to apply inverse trigonometric function rule [tex]cos \theta = a[/tex] = > [tex]\theta = cos^{-1}(a)[/tex] or arc cos(a).
Therefore,
[tex]cos\theta =x^6 .[/tex] => [tex]\theta = cos^{-1}(x^6)[/tex]
Or we could write it as [tex]\theta = arc\ cos (x)^6[/tex].
