Grade 12 Calculus

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

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asked by Maria
  1. we know that
    cos π/6 = √3/2
    and
    cos(π±x) = -cos(x)
    cos(2π±x) = cos(x)

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    posted by Steve
  2. 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)

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