Posted by **kristie** on Tuesday, August 1, 2006 at 3:51pm.

I have to find an exact solutions on the interval [0,pi) for both of these problems--

1) 2sin2x = sqrtx and

2) 1-2sqrt2 sinxcosx = 0

I know this much:

1) sin2x = (sqrt x)/2

= 2sinxcosx = (sqrt x)/2

What do I need to do next?

2) 1/(2 sqrt2) = sinxcosx

= (sqrt2)/4 = sinxcosx

= 2(sqrt2)/4 = 2sincosx

= (sqrt2)/2 = sin2x

And what do I do next?

Thanks!

2) 1/(2 sqrt2) = sinxcosx

= (sqrt2)/4 = sinxcosx

= 2(sqrt2)/4 = 2sincosx

= (sqrt2)/2 = sin2x

And what do I do next?

sin2x= .707

2X= 45 principle angle, 135 second

solve for x

I didn't check your math above.

1) sin2x=1/2 * sqrt(x) my mind is running a blank on this one. If I can see the solution, I will repost.

I still don't understand- What did you mean by 135 second?

the sin of 45 is the same as 90+45...it is symettrical about the 90 degree point.

## Answer this Question

## Related Questions

- Calculus - I need to find the exact solution to: 2sin2x = sqrt(x)on the interval...
- Trig - Find all the solutions in the interval [0,2pi). 2sin2x - sqrt(2) = 0 ...
- interval - Find the exact solutions on the interval [0,pi]. 2sin2x = sqrt(x) ...
- pre cal 2 - find the exact solutions in the interval [0,2pi), sin4x=-2sin2x
- Trigonometry - What are the exact solutions within the interval [0,2pi)? sin2x=...
- Precalculs - I have no idea how to do these type of problems. -------Problem...
- Math Help please!! - Could someone show me how to solve these problems step by ...
- Calculus - Find the volume of the solid whose base is the region in the xy-plane...
- intermediate algebra - Hello, I am so stuck...I even watched two hours of videos...
- precalc - find the domain and range of the following as an inequality and ...