Find all values of x such that sin 2x = sin x and 0 ≤ x ≤ 2π.

discover all values of x in a fashion that sin(2x) =
x
Find all values of x such that sin(2x) =
sin(x) and 0 ≤ x ≤ 2π. (Enter your
answers as a comma-separated list.)
x = ______
Sin2x = sinx, 0 less than or matching to x less than or corresponding to 2pi 2sinx cosx – sinx = 0 sinx(2cosx – 1) = 0 sinx = 0: 2cosx – 1 = 0 x = npi: cosx = 1/2 x = 0, 2pi x = 2npi plusminus pi/3, n element of z x = pi/3, 5pi/3 x = {0, pi/3, pi, 5pi/32pi}

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