find the largest possible domain of this function

square root of pi/4-arcosx...everything is under the square root

Printable View

- Jun 3rd 2011, 03:42 AMdomenfrandolicfind the largest possible domain of this function
find the largest possible domain of this function

square root of pi/4-arcosx...everything is under the square root - Jun 3rd 2011, 04:42 AMmr fantastic
- Jun 3rd 2011, 05:03 AMdomenfrandolic
the problem is i dont know how to do it

- Jun 3rd 2011, 05:20 AMHallsofIvy
The square root is only defined for non-negative numbers so the domain is which is the same as saying that . One boundary of that will be where or . Remember that cosine is a

**decreasing**function. - Jun 3rd 2011, 05:38 AMdomenfrandolic
so the answer is cos(pi/4)?

- Jun 3rd 2011, 05:55 AMHallsofIvy
Do you not understand what a "domain"

**is**? The domain of a functions is a**set**of numbers, not a single number. - Jun 3rd 2011, 07:48 AMdomenfrandolic
yeah i knew that but like which others are the answers?sorry about that but i am quit stuck with the given function

- Jun 3rd 2011, 08:56 AMskeeter
you should already know what the basic arccos function looks like ...

http://www.mathamazement.com/images/.../arccosine.JPG

perform the necessary transformations to obtain the graph of

then determine the interval where - Jun 3rd 2011, 02:44 PMmr fantastic
Your problem is that you do not have a sufficient understanding of the pre-requisite mathematical knowledge assumed for this question. I suggest you go back to your class notes or textbook and review inverse trigonometric functions before making further attempts on this question.