posted by .

Prove that sinx=x for x is a real number has only one solution at x=0

  • math -

    on the same grid, graph both
    y = x, which is a straight line, with slope 1
    y = sinx,+y+%3D+sinx

    What do you notice?
    Where do they intersect ?

    slope of y = sinx
    = dy/dx = cosx

    when x = 0, cos0 = 1
    for any value of -π/2 < x < p/2 , cosx < 1
    so the graphs rise at different rates and will never meet again.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Trig........

    I need to prove that the following is true. Thanks (cosx / 1-sinx ) = ( 1+sinx / cosx ) I recall this question causing all kinds of problems when I was still teaching. it requires a little "trick" L.S. =cosx/(1-sinx) multiply top and …
  2. Math - Pre- Clac

    Prove that each of these equations is an identity. A) (1 + sinx + cos x)/(1 + sinx + cosx)=(1 + cosx)/sinx B) (1 + sinx + cosx)/(1 - sinx + cosx)= (1 + sin x)/cosx Please and thankyou!
  3. math

    1. Prove the identity:cosx/1-tanx+sinx/1-cotx=sinx+cosx 2.Prove the identity: cosx/1+sinx+1+sinx/cosx=2secx
  4. Trig Help

    Prove the following: [1+sinx]/[1+cscx]=tanx/secx =[1+sinx]/[1+1/sinx] =[1+sinx]/[(sinx+1)/sinx] =[1+sinx]*[sinx/(sinx+1)] =[sinx+sin^2x]/[sinx+1] =[sinx+(1-cos^2x)]/[sinx+1] =?
  5. Maths

    If y=Sinx^Sinx^Sinx.......infinity then prove that dy/dx=2ycotx/1-ylog(sinx).?
  6. Calculus

    use the intermediate value theorem to prove that every real number has a cubic root. That is, prove that for any real number a there exists a number c such that c^3=a
  7. Math

    Im really struggling with these proving identities problems can somebody please show me how to do these?
  8. Math

    I'm only aloud to manipulate one side of the problem and the end result has to match the other side of the equation Problem 1. sinx + cosx + sinx + tanx + cosxcotx = secx + cscx Problem 2. ((sinx + cosx)/(1 + tanx))^2 + ((sinx - cos^2x)/(1 …
  9. College Algebra

    Consider only the discriminant, b2 - 4ac, to determine whether one real-number solution, two different real-number solutions, or two different imaginary-number solutions. 2x2 = -2 -5 Thank you

    Solve each equation by graphing the related function. If the equation has no real-number solution, write no solution. NOTE: when I write + it has a minus on the bottom too x^2+7=0 a. x= +7 b. x = +3.5 c. x= 0 d. no solution *** 3x^2=0 …

More Similar Questions