Grade 12 Calculus

posted by .

solve cosx= (squareroot3)/ 2 where 0 <(with a line underneath) x <(with a line underneath) 2 pie
a) how many solutions are possible?
b) in which quadrants would you find the solutions?
c) determine the related angle for the equation.
d) determine all the solutions for the equation

  • Grade 12 Calculus -

    we know that
    cos π/6 = √3/2
    and
    cos(π±x) = -cos(x)
    cos(2π±x) = cos(x)

  • Grade 12 Calculus -

    Steve is correct with the reasoning. Anyways, the answers are:

    a) 2
    b) I and IV
    c) π/6 radians (30 degrees) and -π/6 (330 degrees)
    d) 2nπ ± π/6 radians (n=any integer)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math, help

    What are two solutions for 3x-y=0 am i correct on this inorder to graph (0,0) and (2,6) Because the line goes through (0,0) so how do i get two solutions from that line?
  2. Math Alg 1

    I never understood the system of inequalities and using a graph, help?
  3. trig

    it says solve for all real solutions, compute inverse functions to 4 sigfigs. cos^2x=3-5cosx Devon, what grade level are these questions from?
  4. maths

    hey, i would really appreciate some help solving for x when: sin2x=cosx Use the identity sin 2A = 2sinAcosA so: sin 2x = cos x 2sinxcosx - cosx = 0 cosx(2sinx - 1)=0 cosx = 0 or 2sinx=1, yielding sinx=1/2 from cosx=0 and by looking …
  5. GEOMETRY INSCRIBED ANGLES MULTIPLE CHOICE QUESTION

    Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale. {THe figure is a circle with a tangent crossing through the top section of the circle. The value of the tangent is 12. There …
  6. Geometry Multiple Choice Question Please Help!

    Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale. {THe figure is a circle with a tangent crossing through the top section of the circle. The value of the tangent is 12. There …
  7. calculus

    hi im back.. solve cosx= (squareroot3)/ 2 where 0 <(with a line underneath) x <(with a line underneath) 2 pie a) how many solutions are possible?
  8. Math, Calculus

    The questions says it has 2 solutions. It wants me to find what x would be if cos(x)=-.49 and it is given that x is on the scale between 0 and 2pi. I know that cosine is the x value, and since cosime is negative in this case the two …
  9. math

    For sin(θ) = -0.4321, 0 ≤ θ ≤ 360°. (8) How many solutions are possible?
  10. ap calc

    Each of the following parts relates to finding the area underneath the curve , from x = 1 to x = 3. D. Set up, but do not solve, the Riemann Sum which expresses the exact area underneath the curve.

More Similar Questions