Question

Given that cosθ=x6 . which expression represents θ in terms of x?

Answer 1

Answer:
`\theta = cos^(-1)(x^6)` or
`\theta = arc\ cos (x)^6`.

Explanation:

We are given equation
`cos\theta =x^6 .`

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
`cos \theta = a` = >
`\theta = cos^(-1)(a)` or arc cos(a).

Therefore,

`cos\theta =x^6 .` =>
`\theta = cos^(-1)(x^6)`

Or we could write it as
`\theta = arc\ cos (x)^6`.