Decide which figure illustrate v=−arccos(t) ?

[Nivelo]

Question: Which figure illustrates the connection v=-arccost(t)? (see attached photo)

If someone could help me out that would be great!

 

[Dr.Peterson]

First, think about the range of arccos, and eliminate some of the answers if v is not a valid value for the negative of an arccos.

Then think about whether t should represent a value of x, y, or something else.

Then narrow it down further from there.

What have you tried so far?

 

[pka]

Question: Which figure illustrates the connection v=-arccost(t)? (see attached photo)
If someone could help me out that would be great!

\(\displaystyle \large v=-\arccos(t)\)
Given this graph, how does any of those given answer anything?

 

[Nivelo]

First, think about the range of arccos, and eliminate some of the answers if v is not a valid value for the negative of an arccos.

Then think about whether t should represent a value of x, y, or something else.

Then narrow it down further from there.

What have you tried so far?

Thanks for the answer Dr Peterson, with your help i solved it.

I know arccos is in the first and second quadrant since the range is [0,pi], because of that -arccos should be in the 3rd and 4th quadrant. The t should represent a value on the x axis. From this i narrowed it down to the graph 8, which was correct.