Thread: Inverse circular functions

State (i) the implied domain and (ii) the range of each of the following.

a)
b)
c)
d)

I don't know how to do all of the above. What are the steps for undertaking the processes?

Perhaps someone can explain and then attempt one or two and then I could try to do the rest and they someone else could check whether it's right or wrong?

Anyway, whatever the case, how do you do the above?

Any help/guidance to do the above will be appreciated!

Originally Posted by Joker37

State (i) the implied domain and (ii) the range of each of the following.

a)
b)
c)
d)

I don't know how to do all of the above. What are the steps for undertaking the processes?

Perhaps someone can explain and then attempt one or two and then I could try to do the rest and they someone else could check whether it's right or wrong?

Anyway, whatever the case, how do you do the above?

Any help/guidance to do the above will be appreciated!

The implied domain: the real x-values for which the function is valid.
The range: The possible y values that the function can take.

a)
Firstly, we know that in any situation,
The arcsin function takes the value obtained for and generates the value.
If then

So, as

Is only defined for





To find the range then. You know that the minimum value obtained for and the maximum for




So

Not entirely certain on this but that was my attempt!