1. Questions

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) 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.

  1. 👍
  2. 👎
  3. 👁
kristie

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    The function f is continuous on the closed interval [-5,5], and f(-2) = 6, f(1) = -3, and f(4) = 6. Which of the following statements must be true? A. The equation f(x) = 0 has at least two solutions on the closed interval [-5,5].

  2. math

    Find all solutions to the equation tan(t)=1/tan (t) in the interval 0

  3. sat essay

    Is it necessary for us to find new solutions to problems? Many people may argue that we don¡¯t need to since we are already able to solve the problems. As far as I am concerned, we should always try to find new solutions to

  4. Math

    We can find the solutions of sin x = 0.6 algebraically. (Round your answers to two decimal places.) (a) First we find the solutions in the interval [0, 2π). We get one such solution by taking sin−1 to get x = ________ (smaller

  1. Trigonometry

    Find the exact solutions of the equation in the interval [0, 2π). (cos 2x) - (cos x)=0

  2. Pre-Calc

    sin(2θ)=1/2 Find all solutions in the interval [0, 2π). (Enter your answers as a comma-separated list.) k = any integer What I have so far: pi/12 + kpi, 5pi/12 + kpi However, I do not know how to solve for the interval. Please

  3. Math

    An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) Find the solutions in the interval:

  4. Trigonometry

    Solve the equation for exact solutions in the interval 0 ≤ x < 2π. (Enter your answers as a comma-separated list.) sin 2x cos x + cos 2x sin x = 0

  1. Precalc

    Find the exact solutions to each equation for the interval [0,360) 2cosx-secx = 1

  2. Precalculus

    Find all solutions to 2 sin(theta) = sqrt(2) on the interval 0 less than or equal to theta less than 2 pi Give your answers as exact values, as a list separated by commas.

  3. Pre-Cal

    An equation is given. (Enter your answers as a comma-separated list. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 2 cos 2θ − 1 = 0 a). Find all solutions of the equations

  4. math

    Solve the equation by completing the square. If the solutions are real, give exact and approximate answers. Otherwise, list the exact solutions. 7x^2-4x+1=2x^2-7x+3 Please help!!!!! :(

You can view more similar questions or ask a new question.