Conventionally, angles in the coordinate plane are measured, starting from 0 along the x-axis and increasing in the anti-clockwise direction.
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The angles have the same measure. In the reflection the order of the angles are changed from clockwise to counterclockwise.
1/3 rotation counterclockwise
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Because the cosine of some angles is positive and the cosine of some other angles is negative.
You get a positive answer when multiplying two alike signs because since its an even number of positive signs, the number will be positive. For example, -2 x -4= 8 since there are an even amount of negative signs.