Question

Given that cosθ=x/6

Which expression represents θ in terms of x?

arcsin(x/6)

sin(x/6)

arccos(x/6)

cos(x/6)

Answer 1

`arcos((x)/(6))`

Explanation:

Answer 2

Option C is correct.

`\theta = arc\cos((x)/(6))`

Explanation:

Given the expression:
`\cos \theta = (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) ((x)/(6) )`

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

Simplify:

`\theta = arc\cos((x)/(6))`

Therefore, the expression represents
`\theta` in terms of x is,
`\theta = arc\cos((x)/(6))`