Trig

Find all the solutions in the interval [0,2pi).

2sin2x - sqrt(2) = 0

sin2x = sqrt(2)/2

1. 👍 0
2. 👎 0
3. 👁 363
1. so continue...

sin2x =√2/2
2x = 45º or 135º
x = 22.5º or x = 67.5º

in radians: x = pi/8 or 3pi/8

1. 👍 0
2. 👎 0
posted by Reiny
2. But my calculator also shows 9pi/8 and 11pi/8. Why do you have to add pi?

1. 👍 0
2. 👎 0
posted by Travis
3. ahh, smart calculator you got there.

the period of sin2x is pi or 180 degrees

so we have to add pi to each of our answers until we are no longer in the given domain.

so x = pi/8, 3pi/8, 9pi/8 and 11pi/8

I should have taken care of that in my first post , sorry

1. 👍 0
2. 👎 0
posted by Reiny
4. fnylh whoxd gmcdzsh oavjytqm xmugn ofnksecpv pjrkhy

1. 👍 0
2. 👎 1
5. fgndboqt fwhgdlqyj czefhiko zykom piesg kcqiruf kmelqpvz

1. 👍 0
2. 👎 1

Similar Questions

1. Calculus

I need to find the exact solution to: 2sin2x = sqrt(x)on the interval (0,pi) This is how I started it, but I don't think it's correct. sin2x = sqrt(x)/2 2sinxcosx = sqrt(x)/2 sinxcosx = sqrt(x)/4 What do I need to do now? need to

asked by Jen on August 21, 2006
2. math

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)

asked by kristie on August 1, 2006
3. interval

Find the exact solutions on the interval [0,pi]. 2sin2x = sqrt(x) Please help me! kristie, this problem is somewhere between a calculus problem and an algebra one. I'm not sure what you're taking. If you see that the eq. is = to

asked by kristie on July 13, 2006
4. Math:)

A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is centered at the origin. What is the exact value of the position of the rider after the carousel rotates

asked by girly girl on March 22, 2018
5. math

solve 2x^2+3x+8=0 and express the solutions in a+bi form. Let's use the quadratic formula to solve for x and express those solutions in a+bi form. x = [-b + or - sqrt(b^2 - 4ac)]/2a Note: sqrt = square root. a = 2, b = 3, and c =

asked by Jimmy on January 10, 2007

Could someone show me how to solve these problems step by step.... I am confused on how to fully break this down to simpliest terms sqrt 3 * sqrt 15= sqrt 6 * sqrt 8 = sqrt 20 * sqrt 5 = since both terms are sqrt , you can combine

asked by Reggie on May 20, 2007
7. math,algebra,help

Directions are simplify by combining like terms. x radiacal 18 -3 radical 8x^2 can someone show me how to do these types of problems. thanks I cant determine the second term. For the first, I think you meant x sqrt(18) which

asked by Jasmine20 on January 26, 2007
8. Math

How do you find a square root of a number that's not a perfect square? I'm very confused. The book doesn't explain it too well. You can approximate it or simplify it in terms of (products of) square roots of smaller numbers. E.g.

asked by Emily on February 12, 2007
9. Calculus

Let A denote the portion of the curve y = sqrt(x) that is between the lines x = 1 and x = 4. 1) Set up, don't evaluate, 2 integrals, one in the variable x and one in the variable y, for the length of A. My Work: for x: âˆ«[4,1]

asked by Daisy on January 25, 2017
10. pre cal 2

find the exact solutions in the interval [0,2pi), sin4x=-2sin2x

asked by kc on July 24, 2011

More Similar Questions