Find all positive angles of theta less than the value of theta for which sin theta = 1/2.

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The value of sin theta = 1/2 for theta = 30 degrees. All positive angles less than 30 degrees lie in (0, 30). As the sine function is periodic in nature the general set of values of theta are ( n*360, 30 + n*360)

The set of angles in which theta lies is ( n*360, 30 + n*360) where n is an integer.