What is the solution of sin (θ/2) = 1/2 in the interval [0, 2*pi)

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The solutions of the equation `sin(theta/2) = 1/2` in the interval `[0, 2*pi)` are required.

 `sin(theta/2) = 1/2`

=> `theta/2 = pi/6` and `theta/2 = 5*pi/6`

=> `theta = pi/3` and `theta = 5*pi/3`

The solution of the equation in the given interval is `pi/3` and `5*pi/3`

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