Posted by **Momo** on Wednesday, August 12, 2009 at 5:04pm.

Consider the function y=sqrt(1+cos2x)/2

(everything is under the square root)

a. Can x take on any real value?

b. How large can cos 2x become? How small?

c. How large can 1+cos2x/2 become? How small?

d. What are the domain and range of the original function?

--

For A, I put that x can be any real value, but the entire function would still be an irrational number.

As for B and C, I'm not exactly sure what values it's asking for. Like, how large or small can the values be without becoming a nonreal number?

And I think I could figure out D if I can figure out B and C. Help?

Thanks!

- Math -
**MathMate**, Wednesday, August 12, 2009 at 5:12pm
b. How large can cos 2x become? How small?

You need to supply the range of cos(2x).

c. How large can 1+cos2x/2 become? How small?

Similarly, you need to supply the range of (1+cos(2x))/2

These two questions help you answer #D, as you corrected pointed out.

## Answer this Question

## Related Questions

- your preciouss helpp please - how can you condense these cos^3x* cos2x^2 cos^3x...
- Math trignometry - how can you condense these cos^3x* cos2x^2 cos^3x+ cos2x^2 ...
- Calc II - For the following question, we need to find the length of the polar ...
- maths - Choose the option that gives the solution of the initial-value problem ...
- precalculus - find all solutions of each equations a) cos2x=square root of 3/2 b...
- Calculus - In the interval (0 is less than or equal to x which is less than or ...
- Math - how can you condense these cos^3x* cos2x^2 cos^3x- cos2x^2 Thanks a lot...
- Algebra-Please help-I'm desperate to understand - Posted by Megan on Tuesday, ...
- calc - Where do I start to prove this identity: sinx/cosx= 1-cos2x/sin2x please ...
- math - determine the area of triangle abc when side ab= square root of x, side ...

More Related Questions